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Finding the Fourth Proportional to 162,002.60, 243,003.90 and 144,287.90

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Solution

The fourth proportional to 162,002.60, 243,003.90 and 144,287.90 is: 216,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,002.60 : 243,003.90 = 144,287.90 : x
  2. Step 2: Convert to fraction form
    162,002.60/243,003.90 = 144,287.90/x
  3. Step 3: Cross multiply
    162,002.60x = 243,003.90 × 144,287.90
  4. Step 4: Simplify right side
    162,002.60x = 35,062,522,422.81
  5. Step 5: Solve for x
    x = 35,062,522,422.81/162,002.60
  6. Step 6: Final answer
    x = 216,431.85

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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.