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Finding the Fourth Proportional to 142,882.38, 197,188.83 and 79,232.58

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Solution

The fourth proportional to 142,882.38, 197,188.83 and 79,232.58 is: 109,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,882.38 : 197,188.83 = 79,232.58 : x
  2. Step 2: Convert to fraction form
    142,882.38/197,188.83 = 79,232.58/x
  3. Step 3: Cross multiply
    142,882.38x = 197,188.83 × 79,232.58
  4. Step 4: Simplify right side
    142,882.38x = 15,623,779,748.08
  5. Step 5: Solve for x
    x = 15,623,779,748.08/142,882.38
  6. Step 6: Final answer
    x = 109,347.14

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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.