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Finding the Fourth Proportional to 135,699.20, 203,548.80 and 65,715.20

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Solution

The fourth proportional to 135,699.20, 203,548.80 and 65,715.20 is: 98,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,699.20 : 203,548.80 = 65,715.20 : x
  2. Step 2: Convert to fraction form
    135,699.20/203,548.80 = 65,715.20/x
  3. Step 3: Cross multiply
    135,699.20x = 203,548.80 × 65,715.20
  4. Step 4: Simplify right side
    135,699.20x = 13,376,250,101.76
  5. Step 5: Solve for x
    x = 13,376,250,101.76/135,699.20
  6. Step 6: Final answer
    x = 98,572.80

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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.