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Finding the Fourth Proportional to 282,151.91, 423,226.39 and 99,917.90

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Solution

The fourth proportional to 282,151.91, 423,226.39 and 99,917.90 is: 149,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,151.91 : 423,226.39 = 99,917.90 : x
  2. Step 2: Convert to fraction form
    282,151.91/423,226.39 = 99,917.90/x
  3. Step 3: Cross multiply
    282,151.91x = 423,226.39 × 99,917.90
  4. Step 4: Simplify right side
    282,151.91x = 42,287,892,113.38
  5. Step 5: Solve for x
    x = 42,287,892,113.38/282,151.91
  6. Step 6: Final answer
    x = 149,876.33

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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.