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Finding the Fourth Proportional to 142,411.38, 196,519.50 and 78,745.02

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Solution

The fourth proportional to 142,411.38, 196,519.50 and 78,745.02 is: 108,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,411.38 : 196,519.50 = 78,745.02 : x
  2. Step 2: Convert to fraction form
    142,411.38/196,519.50 = 78,745.02/x
  3. Step 3: Cross multiply
    142,411.38x = 196,519.50 × 78,745.02
  4. Step 4: Simplify right side
    142,411.38x = 15,474,931,957.89
  5. Step 5: Solve for x
    x = 15,474,931,957.89/142,411.38
  6. Step 6: Final answer
    x = 108,663.59

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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.