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Finding the Fourth Proportional to 361,649.48, 542,412.30 and 95,412.74

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Solution

The fourth proportional to 361,649.48, 542,412.30 and 95,412.74 is: 143,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,649.48 : 542,412.30 = 95,412.74 : x
  2. Step 2: Convert to fraction form
    361,649.48/542,412.30 = 95,412.74/x
  3. Step 3: Cross multiply
    361,649.48x = 542,412.30 × 95,412.74
  4. Step 4: Simplify right side
    361,649.48x = 51,753,043,752.70
  5. Step 5: Solve for x
    x = 51,753,043,752.70/361,649.48
  6. Step 6: Final answer
    x = 143,102.77

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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.