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Finding the Fourth Proportional to 130,748.80, 196,123.20 and 42,008.80

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Solution

The fourth proportional to 130,748.80, 196,123.20 and 42,008.80 is: 63,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,748.80 : 196,123.20 = 42,008.80 : x
  2. Step 2: Convert to fraction form
    130,748.80/196,123.20 = 42,008.80/x
  3. Step 3: Cross multiply
    130,748.80x = 196,123.20 × 42,008.80
  4. Step 4: Simplify right side
    130,748.80x = 8,238,900,284.16
  5. Step 5: Solve for x
    x = 8,238,900,284.16/130,748.80
  6. Step 6: Final answer
    x = 63,013.20

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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.