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Finding the Fourth Proportional to 162,419.80, 243,629.70 and 149,978.20

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Solution

The fourth proportional to 162,419.80, 243,629.70 and 149,978.20 is: 224,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,419.80 : 243,629.70 = 149,978.20 : x
  2. Step 2: Convert to fraction form
    162,419.80/243,629.70 = 149,978.20/x
  3. Step 3: Cross multiply
    162,419.80x = 243,629.70 × 149,978.20
  4. Step 4: Simplify right side
    162,419.80x = 36,539,143,872.54
  5. Step 5: Solve for x
    x = 36,539,143,872.54/162,419.80
  6. Step 6: Final answer
    x = 224,967.30

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1.5x scale

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.