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Finding the Fourth Proportional to 186,531, 257,412.78 and 101,648.13

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Solution

The fourth proportional to 186,531, 257,412.78 and 101,648.13 is: 140,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,531 : 257,412.78 = 101,648.13 : x
  2. Step 2: Convert to fraction form
    186,531/257,412.78 = 101,648.13/x
  3. Step 3: Cross multiply
    186,531x = 257,412.78 × 101,648.13
  4. Step 4: Simplify right side
    186,531x = 26,165,527,725.10
  5. Step 5: Solve for x
    x = 26,165,527,725.10/186,531
  6. Step 6: Final answer
    x = 140,274.42

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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.