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Finding the Fourth Proportional to 127,811.60, 191,911.80 and 98,262.80

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Solution

The fourth proportional to 127,811.60, 191,911.80 and 98,262.80 is: 147,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,811.60 : 191,911.80 = 98,262.80 : x
  2. Step 2: Convert to fraction form
    127,811.60/191,911.80 = 98,262.80/x
  3. Step 3: Cross multiply
    127,811.60x = 191,911.80 × 98,262.80
  4. Step 4: Simplify right side
    127,811.60x = 18,857,790,821.04
  5. Step 5: Solve for x
    x = 18,857,790,821.04/127,811.60
  6. Step 6: Final answer
    x = 147,543.66

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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.