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Finding the Fourth Proportional to 312,165.22, 468,248.10 and 75,508.15

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Solution

The fourth proportional to 312,165.22, 468,248.10 and 75,508.15 is: 113,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,165.22 : 468,248.10 = 75,508.15 : x
  2. Step 2: Convert to fraction form
    312,165.22/468,248.10 = 75,508.15/x
  3. Step 3: Cross multiply
    312,165.22x = 468,248.10 × 75,508.15
  4. Step 4: Simplify right side
    312,165.22x = 35,356,547,772.02
  5. Step 5: Solve for x
    x = 35,356,547,772.02/312,165.22
  6. Step 6: Final answer
    x = 113,262.29

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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.