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Finding the Fourth Proportional to 142,338.72, 196,412.40 and 78,666.24

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Solution

The fourth proportional to 142,338.72, 196,412.40 and 78,666.24 is: 108,551.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,338.72 : 196,412.40 = 78,666.24 : x
  2. Step 2: Convert to fraction form
    142,338.72/196,412.40 = 78,666.24/x
  3. Step 3: Cross multiply
    142,338.72x = 196,412.40 × 78,666.24
  4. Step 4: Simplify right side
    142,338.72x = 15,451,024,997.38
  5. Step 5: Solve for x
    x = 15,451,024,997.38/142,338.72
  6. Step 6: Final answer
    x = 108,551.10

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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.