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Finding the Fourth Proportional to 186,294.48, 257,087.97 and 101,411.34

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Solution

The fourth proportional to 186,294.48, 257,087.97 and 101,411.34 is: 139,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294.48 : 257,087.97 = 101,411.34 : x
  2. Step 2: Convert to fraction form
    186,294.48/257,087.97 = 101,411.34/x
  3. Step 3: Cross multiply
    186,294.48x = 257,087.97 × 101,411.34
  4. Step 4: Simplify right side
    186,294.48x = 26,071,635,535.58
  5. Step 5: Solve for x
    x = 26,071,635,535.58/186,294.48
  6. Step 6: Final answer
    x = 139,948.51

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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.