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Finding the Fourth Proportional to 100,819.80, 151,056.90 and 65,741.40

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Solution

The fourth proportional to 100,819.80, 151,056.90 and 65,741.40 is: 98,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,819.80 : 151,056.90 = 65,741.40 : x
  2. Step 2: Convert to fraction form
    100,819.80/151,056.90 = 65,741.40/x
  3. Step 3: Cross multiply
    100,819.80x = 151,056.90 × 65,741.40
  4. Step 4: Simplify right side
    100,819.80x = 9,930,692,085.66
  5. Step 5: Solve for x
    x = 9,930,692,085.66/100,819.80
  6. Step 6: Final answer
    x = 98,499.42

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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.