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Finding the Fourth Proportional to 312,585.16, 468,871.24 and 75,929.08

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Solution

The fourth proportional to 312,585.16, 468,871.24 and 75,929.08 is: 113,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,585.16 : 468,871.24 = 75,929.08 : x
  2. Step 2: Convert to fraction form
    312,585.16/468,871.24 = 75,929.08/x
  3. Step 3: Cross multiply
    312,585.16x = 468,871.24 × 75,929.08
  4. Step 4: Simplify right side
    312,585.16x = 35,600,961,891.66
  5. Step 5: Solve for x
    x = 35,600,961,891.66/312,585.16
  6. Step 6: Final answer
    x = 113,892.04

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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.