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Finding the Fourth Proportional to 361,447.02, 542,124.27 and 95,228.10

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Solution

The fourth proportional to 361,447.02, 542,124.27 and 95,228.10 is: 142,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,447.02 : 542,124.27 = 95,228.10 : x
  2. Step 2: Convert to fraction form
    361,447.02/542,124.27 = 95,228.10/x
  3. Step 3: Cross multiply
    361,447.02x = 542,124.27 × 95,228.10
  4. Step 4: Simplify right side
    361,447.02x = 51,625,464,195.99
  5. Step 5: Solve for x
    x = 51,625,464,195.99/361,447.02
  6. Step 6: Final answer
    x = 142,829.96

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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.