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Finding the Fourth Proportional to 242,308.20, 363,462.30 and 148,866.60

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Solution

The fourth proportional to 242,308.20, 363,462.30 and 148,866.60 is: 223,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,308.20 : 363,462.30 = 148,866.60 : x
  2. Step 2: Convert to fraction form
    242,308.20/363,462.30 = 148,866.60/x
  3. Step 3: Cross multiply
    242,308.20x = 363,462.30 × 148,866.60
  4. Step 4: Simplify right side
    242,308.20x = 54,107,396,829.18
  5. Step 5: Solve for x
    x = 54,107,396,829.18/242,308.20
  6. Step 6: Final answer
    x = 223,299.90

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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.