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Finding the Fourth Proportional to 142,064.80, 196,123.14 and 103,781.38

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Solution

The fourth proportional to 142,064.80, 196,123.14 and 103,781.38 is: 143,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,064.80 : 196,123.14 = 103,781.38 : x
  2. Step 2: Convert to fraction form
    142,064.80/196,123.14 = 103,781.38/x
  3. Step 3: Cross multiply
    142,064.80x = 196,123.14 × 103,781.38
  4. Step 4: Simplify right side
    142,064.80x = 20,353,930,119.13
  5. Step 5: Solve for x
    x = 20,353,930,119.13/142,064.80
  6. Step 6: Final answer
    x = 143,272.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.