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Finding the Fourth Proportional to 96,242.85, 144,388.85 and 40,064.28

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Solution

The fourth proportional to 96,242.85, 144,388.85 and 40,064.28 is: 60,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,242.85 : 144,388.85 = 40,064.28 : x
  2. Step 2: Convert to fraction form
    96,242.85/144,388.85 = 40,064.28/x
  3. Step 3: Cross multiply
    96,242.85x = 144,388.85 × 40,064.28
  4. Step 4: Simplify right side
    96,242.85x = 5,784,835,114.96
  5. Step 5: Solve for x
    x = 5,784,835,114.96/96,242.85
  6. Step 6: Final answer
    x = 60,106.65

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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.