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Finding the Fourth Proportional to 135,657.76, 203,289.36 and 65,454.88

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Solution

The fourth proportional to 135,657.76, 203,289.36 and 65,454.88 is: 98,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,657.76 : 203,289.36 = 65,454.88 : x
  2. Step 2: Convert to fraction form
    135,657.76/203,289.36 = 65,454.88/x
  3. Step 3: Cross multiply
    135,657.76x = 203,289.36 × 65,454.88
  4. Step 4: Simplify right side
    135,657.76x = 13,306,280,664.08
  5. Step 5: Solve for x
    x = 13,306,280,664.08/135,657.76
  6. Step 6: Final answer
    x = 98,087.13

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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.