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Finding the Fourth Proportional to 101,002.60, 151,503.90 and 96,409.90

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Solution

The fourth proportional to 101,002.60, 151,503.90 and 96,409.90 is: 144,614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,002.60 : 151,503.90 = 96,409.90 : x
  2. Step 2: Convert to fraction form
    101,002.60/151,503.90 = 96,409.90/x
  3. Step 3: Cross multiply
    101,002.60x = 151,503.90 × 96,409.90
  4. Step 4: Simplify right side
    101,002.60x = 14,606,475,848.61
  5. Step 5: Solve for x
    x = 14,606,475,848.61/101,002.60
  6. Step 6: Final answer
    x = 144,614.85

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Why These Related Problems?

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