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Finding the Fourth Proportional to 242,582.30, 363,743.85 and 84,815.90

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Solution

The fourth proportional to 242,582.30, 363,743.85 and 84,815.90 is: 127,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,582.30 : 363,743.85 = 84,815.90 : x
  2. Step 2: Convert to fraction form
    242,582.30/363,743.85 = 84,815.90/x
  3. Step 3: Cross multiply
    242,582.30x = 363,743.85 × 84,815.90
  4. Step 4: Simplify right side
    242,582.30x = 30,851,262,007.22
  5. Step 5: Solve for x
    x = 30,851,262,007.22/242,582.30
  6. Step 6: Final answer
    x = 127,178.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.