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Finding the Fourth Proportional to 242,513.60, 363,770.40 and 158,532.80

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Solution

The fourth proportional to 242,513.60, 363,770.40 and 158,532.80 is: 237,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,513.60 : 363,770.40 = 158,532.80 : x
  2. Step 2: Convert to fraction form
    242,513.60/363,770.40 = 158,532.80/x
  3. Step 3: Cross multiply
    242,513.60x = 363,770.40 × 158,532.80
  4. Step 4: Simplify right side
    242,513.60x = 57,669,540,069.12
  5. Step 5: Solve for x
    x = 57,669,540,069.12/242,513.60
  6. Step 6: Final answer
    x = 237,799.20

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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.