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Finding the Fourth Proportional to 96,874.64, 145,223.94 and 86,377.04

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Solution

The fourth proportional to 96,874.64, 145,223.94 and 86,377.04 is: 129,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,874.64 : 145,223.94 = 86,377.04 : x
  2. Step 2: Convert to fraction form
    96,874.64/145,223.94 = 86,377.04/x
  3. Step 3: Cross multiply
    96,874.64x = 145,223.94 × 86,377.04
  4. Step 4: Simplify right side
    96,874.64x = 12,544,014,074.34
  5. Step 5: Solve for x
    x = 12,544,014,074.34/96,874.64
  6. Step 6: Final answer
    x = 129,487.08

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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.