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Finding the Fourth Proportional to 242,898.85, 364,359.21 and 74,406.90

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Solution

The fourth proportional to 242,898.85, 364,359.21 and 74,406.90 is: 111,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,898.85 : 364,359.21 = 74,406.90 : x
  2. Step 2: Convert to fraction form
    242,898.85/364,359.21 = 74,406.90/x
  3. Step 3: Cross multiply
    242,898.85x = 364,359.21 × 74,406.90
  4. Step 4: Simplify right side
    242,898.85x = 27,110,840,808.41
  5. Step 5: Solve for x
    x = 27,110,840,808.41/242,898.85
  6. Step 6: Final answer
    x = 111,613.71

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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.