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Finding the Fourth Proportional to 162,057.90, 242,568.45 and 149,616.30

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Solution

The fourth proportional to 162,057.90, 242,568.45 and 149,616.30 is: 223,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,057.90 : 242,568.45 = 149,616.30 : x
  2. Step 2: Convert to fraction form
    162,057.90/242,568.45 = 149,616.30/x
  3. Step 3: Cross multiply
    162,057.90x = 242,568.45 × 149,616.30
  4. Step 4: Simplify right side
    162,057.90x = 36,292,193,985.74
  5. Step 5: Solve for x
    x = 36,292,193,985.74/162,057.90
  6. Step 6: Final answer
    x = 223,945.85

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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.