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Finding the Fourth Proportional to 211,903.74, 292,432.50 and 116,419.32

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Solution

The fourth proportional to 211,903.74, 292,432.50 and 116,419.32 is: 160,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,903.74 : 292,432.50 = 116,419.32 : x
  2. Step 2: Convert to fraction form
    211,903.74/292,432.50 = 116,419.32/x
  3. Step 3: Cross multiply
    211,903.74x = 292,432.50 × 116,419.32
  4. Step 4: Simplify right side
    211,903.74x = 34,044,792,795.90
  5. Step 5: Solve for x
    x = 34,044,792,795.90/211,903.74
  6. Step 6: Final answer
    x = 160,661.59

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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.