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Finding the Fourth Proportional to 357,930.96, 536,961.24 and 147,451.92

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Solution

The fourth proportional to 357,930.96, 536,961.24 and 147,451.92 is: 221,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,930.96 : 536,961.24 = 147,451.92 : x
  2. Step 2: Convert to fraction form
    357,930.96/536,961.24 = 147,451.92/x
  3. Step 3: Cross multiply
    357,930.96x = 536,961.24 × 147,451.92
  4. Step 4: Simplify right side
    357,930.96x = 79,175,965,803.58
  5. Step 5: Solve for x
    x = 79,175,965,803.58/357,930.96
  6. Step 6: Final answer
    x = 221,204.57

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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.