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Finding the Fourth Proportional to 242,654.32, 363,759.72 and 205,454.08

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Solution

The fourth proportional to 242,654.32, 363,759.72 and 205,454.08 is: 307,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,654.32 : 363,759.72 = 205,454.08 : x
  2. Step 2: Convert to fraction form
    242,654.32/363,759.72 = 205,454.08/x
  3. Step 3: Cross multiply
    242,654.32x = 363,759.72 × 205,454.08
  4. Step 4: Simplify right side
    242,654.32x = 74,735,918,613.66
  5. Step 5: Solve for x
    x = 74,735,918,613.66/242,654.32
  6. Step 6: Final answer
    x = 307,993.36

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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.