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Finding the Fourth Proportional to 185,921.44, 256,539.90 and 105,332.32

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Solution

The fourth proportional to 185,921.44, 256,539.90 and 105,332.32 is: 145,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,921.44 : 256,539.90 = 105,332.32 : x
  2. Step 2: Convert to fraction form
    185,921.44/256,539.90 = 105,332.32/x
  3. Step 3: Cross multiply
    185,921.44x = 256,539.90 × 105,332.32
  4. Step 4: Simplify right side
    185,921.44x = 27,021,942,839.57
  5. Step 5: Solve for x
    x = 27,021,942,839.57/185,921.44
  6. Step 6: Final answer
    x = 145,340.65

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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.