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Finding the Fourth Proportional to 186,207.50, 256,964.18 and 101,323.10

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Solution

The fourth proportional to 186,207.50, 256,964.18 and 101,323.10 is: 139,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,207.50 : 256,964.18 = 101,323.10 : x
  2. Step 2: Convert to fraction form
    186,207.50/256,964.18 = 101,323.10/x
  3. Step 3: Cross multiply
    186,207.50x = 256,964.18 × 101,323.10
  4. Step 4: Simplify right side
    186,207.50x = 26,036,407,306.56
  5. Step 5: Solve for x
    x = 26,036,407,306.56/186,207.50
  6. Step 6: Final answer
    x = 139,824.70

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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.