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Finding the Fourth Proportional to 128,909.10, 193,363.65 and 89,543.10

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Solution

The fourth proportional to 128,909.10, 193,363.65 and 89,543.10 is: 134,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,909.10 : 193,363.65 = 89,543.10 : x
  2. Step 2: Convert to fraction form
    128,909.10/193,363.65 = 89,543.10/x
  3. Step 3: Cross multiply
    128,909.10x = 193,363.65 × 89,543.10
  4. Step 4: Simplify right side
    128,909.10x = 17,314,380,648.32
  5. Step 5: Solve for x
    x = 17,314,380,648.32/128,909.10
  6. Step 6: Final answer
    x = 134,314.65

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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.