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Finding the Fourth Proportional to 186,294.72, 257,085.42 and 101,411.58

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Solution

The fourth proportional to 186,294.72, 257,085.42 and 101,411.58 is: 139,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294.72 : 257,085.42 = 101,411.58 : x
  2. Step 2: Convert to fraction form
    186,294.72/257,085.42 = 101,411.58/x
  3. Step 3: Cross multiply
    186,294.72x = 257,085.42 × 101,411.58
  4. Step 4: Simplify right side
    186,294.72x = 26,071,438,637.16
  5. Step 5: Solve for x
    x = 26,071,438,637.16/186,294.72
  6. Step 6: Final answer
    x = 139,947.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.