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Finding the Fourth Proportional to 101,429.70, 152,144.55 and 78,101.70

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Solution

The fourth proportional to 101,429.70, 152,144.55 and 78,101.70 is: 117,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,429.70 : 152,144.55 = 78,101.70 : x
  2. Step 2: Convert to fraction form
    101,429.70/152,144.55 = 78,101.70/x
  3. Step 3: Cross multiply
    101,429.70x = 152,144.55 × 78,101.70
  4. Step 4: Simplify right side
    101,429.70x = 11,882,748,000.74
  5. Step 5: Solve for x
    x = 11,882,748,000.74/101,429.70
  6. Step 6: Final answer
    x = 117,152.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.