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Finding the Fourth Proportional to 101,697.60, 152,503.20 and 49,123.20

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Solution

The fourth proportional to 101,697.60, 152,503.20 and 49,123.20 is: 73,663.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,697.60 : 152,503.20 = 49,123.20 : x
  2. Step 2: Convert to fraction form
    101,697.60/152,503.20 = 49,123.20/x
  3. Step 3: Cross multiply
    101,697.60x = 152,503.20 × 49,123.20
  4. Step 4: Simplify right side
    101,697.60x = 7,491,445,194.24
  5. Step 5: Solve for x
    x = 7,491,445,194.24/101,697.60
  6. Step 6: Final answer
    x = 73,663.93

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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.