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Finding the Fourth Proportional to 240,884.13, 361,298.04 and 96,784.11

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Solution

The fourth proportional to 240,884.13, 361,298.04 and 96,784.11 is: 145,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,884.13 : 361,298.04 = 96,784.11 : x
  2. Step 2: Convert to fraction form
    240,884.13/361,298.04 = 96,784.11/x
  3. Step 3: Cross multiply
    240,884.13x = 361,298.04 × 96,784.11
  4. Step 4: Simplify right side
    240,884.13x = 34,967,909,246.14
  5. Step 5: Solve for x
    x = 34,967,909,246.14/240,884.13
  6. Step 6: Final answer
    x = 145,164.85

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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.