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Finding the Fourth Proportional to 68,138.40, 102,207.60 and 57,770.40

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Solution

The fourth proportional to 68,138.40, 102,207.60 and 57,770.40 is: 86,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138.40 : 102,207.60 = 57,770.40 : x
  2. Step 2: Convert to fraction form
    68,138.40/102,207.60 = 57,770.40/x
  3. Step 3: Cross multiply
    68,138.40x = 102,207.60 × 57,770.40
  4. Step 4: Simplify right side
    68,138.40x = 5,904,573,935.04
  5. Step 5: Solve for x
    x = 5,904,573,935.04/68,138.40
  6. Step 6: Final answer
    x = 86,655.60

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1.5x scale

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.