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Finding the Fourth Proportional to 186,423.54, 257,267.46 and 101,540.61

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Solution

The fourth proportional to 186,423.54, 257,267.46 and 101,540.61 is: 140,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,423.54 : 257,267.46 = 101,540.61 : x
  2. Step 2: Convert to fraction form
    186,423.54/257,267.46 = 101,540.61/x
  3. Step 3: Cross multiply
    186,423.54x = 257,267.46 × 101,540.61
  4. Step 4: Simplify right side
    186,423.54x = 26,123,094,821.55
  5. Step 5: Solve for x
    x = 26,123,094,821.55/186,423.54
  6. Step 6: Final answer
    x = 140,127.66

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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.