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Finding the Fourth Proportional to 242,578.80, 363,868.20 and 153,567.90

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Solution

The fourth proportional to 242,578.80, 363,868.20 and 153,567.90 is: 230,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,578.80 : 363,868.20 = 153,567.90 : x
  2. Step 2: Convert to fraction form
    242,578.80/363,868.20 = 153,567.90/x
  3. Step 3: Cross multiply
    242,578.80x = 363,868.20 × 153,567.90
  4. Step 4: Simplify right side
    242,578.80x = 55,878,475,350.78
  5. Step 5: Solve for x
    x = 55,878,475,350.78/242,578.80
  6. Step 6: Final answer
    x = 230,351.85

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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.