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Finding the Fourth Proportional to 131,805.82, 197,614.77 and 61,646.86

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Solution

The fourth proportional to 131,805.82, 197,614.77 and 61,646.86 is: 92,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,805.82 : 197,614.77 = 61,646.86 : x
  2. Step 2: Convert to fraction form
    131,805.82/197,614.77 = 61,646.86/x
  3. Step 3: Cross multiply
    131,805.82x = 197,614.77 × 61,646.86
  4. Step 4: Simplify right side
    131,805.82x = 12,182,330,060.12
  5. Step 5: Solve for x
    x = 12,182,330,060.12/131,805.82
  6. Step 6: Final answer
    x = 92,426.34

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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.