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Finding the Fourth Proportional to 150,070.56, 207,096 and 82,088.88

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Solution

The fourth proportional to 150,070.56, 207,096 and 82,088.88 is: 113,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,070.56 : 207,096 = 82,088.88 : x
  2. Step 2: Convert to fraction form
    150,070.56/207,096 = 82,088.88/x
  3. Step 3: Cross multiply
    150,070.56x = 207,096 × 82,088.88
  4. Step 4: Simplify right side
    150,070.56x = 17,000,278,692.48
  5. Step 5: Solve for x
    x = 17,000,278,692.48/150,070.56
  6. Step 6: Final answer
    x = 113,281.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.