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Finding the Fourth Proportional to 185,355.90, 255,784.27 and 100,471.14

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Solution

The fourth proportional to 185,355.90, 255,784.27 and 100,471.14 is: 138,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,355.90 : 255,784.27 = 100,471.14 : x
  2. Step 2: Convert to fraction form
    185,355.90/255,784.27 = 100,471.14/x
  3. Step 3: Cross multiply
    185,355.90x = 255,784.27 × 100,471.14
  4. Step 4: Simplify right side
    185,355.90x = 25,698,937,200.97
  5. Step 5: Solve for x
    x = 25,698,937,200.97/185,355.90
  6. Step 6: Final answer
    x = 138,646.45

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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.