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Finding the Fourth Proportional to 162,025.40, 242,965.20 and 73,233.20

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Solution

The fourth proportional to 162,025.40, 242,965.20 and 73,233.20 is: 109,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,025.40 : 242,965.20 = 73,233.20 : x
  2. Step 2: Convert to fraction form
    162,025.40/242,965.20 = 73,233.20/x
  3. Step 3: Cross multiply
    162,025.40x = 242,965.20 × 73,233.20
  4. Step 4: Simplify right side
    162,025.40x = 17,793,119,084.64
  5. Step 5: Solve for x
    x = 17,793,119,084.64/162,025.40
  6. Step 6: Final answer
    x = 109,816.85

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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.