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Finding the Fourth Proportional to 242,203.20, 363,304.80 and 148,761.60

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Solution

The fourth proportional to 242,203.20, 363,304.80 and 148,761.60 is: 223,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,203.20 : 363,304.80 = 148,761.60 : x
  2. Step 2: Convert to fraction form
    242,203.20/363,304.80 = 148,761.60/x
  3. Step 3: Cross multiply
    242,203.20x = 363,304.80 × 148,761.60
  4. Step 4: Simplify right side
    242,203.20x = 54,045,803,335.68
  5. Step 5: Solve for x
    x = 54,045,803,335.68/242,203.20
  6. Step 6: Final answer
    x = 223,142.40

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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.