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Finding the Fourth Proportional to 97,245.73, 145,865.79 and 53,151.76

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Solution

The fourth proportional to 97,245.73, 145,865.79 and 53,151.76 is: 79,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,245.73 : 145,865.79 = 53,151.76 : x
  2. Step 2: Convert to fraction form
    97,245.73/145,865.79 = 53,151.76/x
  3. Step 3: Cross multiply
    97,245.73x = 145,865.79 × 53,151.76
  4. Step 4: Simplify right side
    97,245.73x = 7,753,023,462.29
  5. Step 5: Solve for x
    x = 7,753,023,462.29/97,245.73
  6. Step 6: Final answer
    x = 79,726.11

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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.