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Finding the Fourth Proportional to 309,502.80, 464,195.10 and 96,273.30

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Solution

The fourth proportional to 309,502.80, 464,195.10 and 96,273.30 is: 144,391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,502.80 : 464,195.10 = 96,273.30 : x
  2. Step 2: Convert to fraction form
    309,502.80/464,195.10 = 96,273.30/x
  3. Step 3: Cross multiply
    309,502.80x = 464,195.10 × 96,273.30
  4. Step 4: Simplify right side
    309,502.80x = 44,689,594,120.83
  5. Step 5: Solve for x
    x = 44,689,594,120.83/309,502.80
  6. Step 6: Final answer
    x = 144,391.57

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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.