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Finding the Fourth Proportional to 186,342, 257,156.52 and 101,463.68

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Solution

The fourth proportional to 186,342, 257,156.52 and 101,463.68 is: 140,022.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,342 : 257,156.52 = 101,463.68 : x
  2. Step 2: Convert to fraction form
    186,342/257,156.52 = 101,463.68/x
  3. Step 3: Cross multiply
    186,342x = 257,156.52 × 101,463.68
  4. Step 4: Simplify right side
    186,342x = 26,092,046,855.19
  5. Step 5: Solve for x
    x = 26,092,046,855.19/186,342
  6. Step 6: Final answer
    x = 140,022.36

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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.