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Finding the Fourth Proportional to 357,815.80, 536,519.58 and 147,202.84

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Solution

The fourth proportional to 357,815.80, 536,519.58 and 147,202.84 is: 220,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,815.80 : 536,519.58 = 147,202.84 : x
  2. Step 2: Convert to fraction form
    357,815.80/536,519.58 = 147,202.84/x
  3. Step 3: Cross multiply
    357,815.80x = 536,519.58 × 147,202.84
  4. Step 4: Simplify right side
    357,815.80x = 78,977,205,891.61
  5. Step 5: Solve for x
    x = 78,977,205,891.61/357,815.80
  6. Step 6: Final answer
    x = 220,720.29

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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.