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Finding the Fourth Proportional to 185,890,368.42, 256,527,289.87 and 102,256,698.17

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Solution

The fourth proportional to 185,890,368.42, 256,527,289.87 and 102,256,698.17 is: 141,113,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,890,368.42 : 256,527,289.87 = 102,256,698.17 : x
  2. Step 2: Convert to fraction form
    185,890,368.42/256,527,289.87 = 102,256,698.17/x
  3. Step 3: Cross multiply
    185,890,368.42x = 256,527,289.87 × 102,256,698.17
  4. Step 4: Simplify right side
    185,890,368.42x = 26,231,633,652,604,688
  5. Step 5: Solve for x
    x = 26,231,633,652,604,688/185,890,368.42
  6. Step 6: Final answer
    x = 141,113,463.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.