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Finding the Fourth Proportional to 186,663.64, 257,595.24 and 101,780.52

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Solution

The fourth proportional to 186,663.64, 257,595.24 and 101,780.52 is: 140,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,663.64 : 257,595.24 = 101,780.52 : x
  2. Step 2: Convert to fraction form
    186,663.64/257,595.24 = 101,780.52/x
  3. Step 3: Cross multiply
    186,663.64x = 257,595.24 × 101,780.52
  4. Step 4: Simplify right side
    186,663.64x = 26,218,177,476.72
  5. Step 5: Solve for x
    x = 26,218,177,476.72/186,663.64
  6. Step 6: Final answer
    x = 140,456.80

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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.