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Finding the Fourth Proportional to 257,572.86, 386,060.67 and 97,547.10

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Solution

The fourth proportional to 257,572.86, 386,060.67 and 97,547.10 is: 146,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,572.86 : 386,060.67 = 97,547.10 : x
  2. Step 2: Convert to fraction form
    257,572.86/386,060.67 = 97,547.10/x
  3. Step 3: Cross multiply
    257,572.86x = 386,060.67 × 97,547.10
  4. Step 4: Simplify right side
    257,572.86x = 37,659,098,782.56
  5. Step 5: Solve for x
    x = 37,659,098,782.56/257,572.86
  6. Step 6: Final answer
    x = 146,207.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.