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Finding the Fourth Proportional to 361,894.80, 542,842.20 and 151,510.80

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Solution

The fourth proportional to 361,894.80, 542,842.20 and 151,510.80 is: 227,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,894.80 : 542,842.20 = 151,510.80 : x
  2. Step 2: Convert to fraction form
    361,894.80/542,842.20 = 151,510.80/x
  3. Step 3: Cross multiply
    361,894.80x = 542,842.20 × 151,510.80
  4. Step 4: Simplify right side
    361,894.80x = 82,246,455,995.76
  5. Step 5: Solve for x
    x = 82,246,455,995.76/361,894.80
  6. Step 6: Final answer
    x = 227,266.20

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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.