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Finding the Fourth Proportional to 422,097.71, 632,916.90 and 152,189.10

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Solution

The fourth proportional to 422,097.71, 632,916.90 and 152,189.10 is: 228,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,097.71 : 632,916.90 = 152,189.10 : x
  2. Step 2: Convert to fraction form
    422,097.71/632,916.90 = 152,189.10/x
  3. Step 3: Cross multiply
    422,097.71x = 632,916.90 × 152,189.10
  4. Step 4: Simplify right side
    422,097.71x = 96,323,053,385.79
  5. Step 5: Solve for x
    x = 96,323,053,385.79/422,097.71
  6. Step 6: Final answer
    x = 228,200.85

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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.