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Finding the Fourth Proportional to 186,663.72, 257,596.19 and 101,780.78

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Solution

The fourth proportional to 186,663.72, 257,596.19 and 101,780.78 is: 140,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,663.72 : 257,596.19 = 101,780.78 : x
  2. Step 2: Convert to fraction form
    186,663.72/257,596.19 = 101,780.78/x
  3. Step 3: Cross multiply
    186,663.72x = 257,596.19 × 101,780.78
  4. Step 4: Simplify right side
    186,663.72x = 26,218,342,041.67
  5. Step 5: Solve for x
    x = 26,218,342,041.67/186,663.72
  6. Step 6: Final answer
    x = 140,457.62

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1.5x scale

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.