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Finding the Fourth Proportional to 186,539.16, 257,423.19 and 101,656.20

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Solution

The fourth proportional to 186,539.16, 257,423.19 and 101,656.20 is: 140,285.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,539.16 : 257,423.19 = 101,656.20 : x
  2. Step 2: Convert to fraction form
    186,539.16/257,423.19 = 101,656.20/x
  3. Step 3: Cross multiply
    186,539.16x = 257,423.19 × 101,656.20
  4. Step 4: Simplify right side
    186,539.16x = 26,168,663,287.28
  5. Step 5: Solve for x
    x = 26,168,663,287.28/186,539.16
  6. Step 6: Final answer
    x = 140,285.09

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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.