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Finding the Fourth Proportional to 131,597.91, 197,472.11 and 55,690.47

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Solution

The fourth proportional to 131,597.91, 197,472.11 and 55,690.47 is: 83,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,597.91 : 197,472.11 = 55,690.47 : x
  2. Step 2: Convert to fraction form
    131,597.91/197,472.11 = 55,690.47/x
  3. Step 3: Cross multiply
    131,597.91x = 197,472.11 × 55,690.47
  4. Step 4: Simplify right side
    131,597.91x = 10,997,314,339.34
  5. Step 5: Solve for x
    x = 10,997,314,339.34/131,597.91
  6. Step 6: Final answer
    x = 83,567.55

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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.