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Finding the Fourth Proportional to 361,852.40, 542,681.40 and 151,446.80

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Solution

The fourth proportional to 361,852.40, 542,681.40 and 151,446.80 is: 227,129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,852.40 : 542,681.40 = 151,446.80 : x
  2. Step 2: Convert to fraction form
    361,852.40/542,681.40 = 151,446.80/x
  3. Step 3: Cross multiply
    361,852.40x = 542,681.40 × 151,446.80
  4. Step 4: Simplify right side
    361,852.40x = 82,187,361,449.52
  5. Step 5: Solve for x
    x = 82,187,361,449.52/361,852.40
  6. Step 6: Final answer
    x = 227,129.52

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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.