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Finding the Fourth Proportional to 242,202.80, 363,304.20 and 166,095.20

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Solution

The fourth proportional to 242,202.80, 363,304.20 and 166,095.20 is: 249,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,202.80 : 363,304.20 = 166,095.20 : x
  2. Step 2: Convert to fraction form
    242,202.80/363,304.20 = 166,095.20/x
  3. Step 3: Cross multiply
    242,202.80x = 363,304.20 × 166,095.20
  4. Step 4: Simplify right side
    242,202.80x = 60,343,083,759.84
  5. Step 5: Solve for x
    x = 60,343,083,759.84/242,202.80
  6. Step 6: Final answer
    x = 249,142.80

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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.