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Finding the Fourth Proportional to 242,744.80, 363,987.60 and 102,344.80

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Solution

The fourth proportional to 242,744.80, 363,987.60 and 102,344.80 is: 153,462.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,744.80 : 363,987.60 = 102,344.80 : x
  2. Step 2: Convert to fraction form
    242,744.80/363,987.60 = 102,344.80/x
  3. Step 3: Cross multiply
    242,744.80x = 363,987.60 × 102,344.80
  4. Step 4: Simplify right side
    242,744.80x = 37,252,238,124.48
  5. Step 5: Solve for x
    x = 37,252,238,124.48/242,744.80
  6. Step 6: Final answer
    x = 153,462.56

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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.