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Finding the Fourth Proportional to 142,138.01, 196,145.39 and 78,475.65

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Solution

The fourth proportional to 142,138.01, 196,145.39 and 78,475.65 is: 108,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,138.01 : 196,145.39 = 78,475.65 : x
  2. Step 2: Convert to fraction form
    142,138.01/196,145.39 = 78,475.65/x
  3. Step 3: Cross multiply
    142,138.01x = 196,145.39 × 78,475.65
  4. Step 4: Simplify right side
    142,138.01x = 15,392,636,582.38
  5. Step 5: Solve for x
    x = 15,392,636,582.38/142,138.01
  6. Step 6: Final answer
    x = 108,293.60

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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.