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Finding the Fourth Proportional to 126,805.15, 190,191.32 and 47,909.13

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Solution

The fourth proportional to 126,805.15, 190,191.32 and 47,909.13 is: 71,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,805.15 : 190,191.32 = 47,909.13 : x
  2. Step 2: Convert to fraction form
    126,805.15/190,191.32 = 47,909.13/x
  3. Step 3: Cross multiply
    126,805.15x = 190,191.32 × 47,909.13
  4. Step 4: Simplify right side
    126,805.15x = 9,111,900,674.75
  5. Step 5: Solve for x
    x = 9,111,900,674.75/126,805.15
  6. Step 6: Final answer
    x = 71,857.50

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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.