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Finding the Fourth Proportional to 357,891.61, 536,443.75 and 147,414.73

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Solution

The fourth proportional to 357,891.61, 536,443.75 and 147,414.73 is: 220,959.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,891.61 : 536,443.75 = 147,414.73 : x
  2. Step 2: Convert to fraction form
    357,891.61/536,443.75 = 147,414.73/x
  3. Step 3: Cross multiply
    357,891.61x = 536,443.75 × 147,414.73
  4. Step 4: Simplify right side
    357,891.61x = 79,079,710,566.44
  5. Step 5: Solve for x
    x = 79,079,710,566.44/357,891.61
  6. Step 6: Final answer
    x = 220,959.95

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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.