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Finding the Fourth Proportional to 135,482.46, 203,230.14 and 65,420.70

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Solution

The fourth proportional to 135,482.46, 203,230.14 and 65,420.70 is: 98,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,482.46 : 203,230.14 = 65,420.70 : x
  2. Step 2: Convert to fraction form
    135,482.46/203,230.14 = 65,420.70/x
  3. Step 3: Cross multiply
    135,482.46x = 203,230.14 × 65,420.70
  4. Step 4: Simplify right side
    135,482.46x = 13,295,458,019.90
  5. Step 5: Solve for x
    x = 13,295,458,019.90/135,482.46
  6. Step 6: Final answer
    x = 98,134.16

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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.