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Finding the Fourth Proportional to 241,253.13, 361,774.10 and 99,000.81

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Solution

The fourth proportional to 241,253.13, 361,774.10 and 99,000.81 is: 148,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,253.13 : 361,774.10 = 99,000.81 : x
  2. Step 2: Convert to fraction form
    241,253.13/361,774.10 = 99,000.81/x
  3. Step 3: Cross multiply
    241,253.13x = 361,774.10 × 99,000.81
  4. Step 4: Simplify right side
    241,253.13x = 35,815,928,442.02
  5. Step 5: Solve for x
    x = 35,815,928,442.02/241,253.13
  6. Step 6: Final answer
    x = 148,457.88

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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.