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Finding the Fourth Proportional to 312,706.68, 469,071.27 and 88,086.75

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Solution

The fourth proportional to 312,706.68, 469,071.27 and 88,086.75 is: 132,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,706.68 : 469,071.27 = 88,086.75 : x
  2. Step 2: Convert to fraction form
    312,706.68/469,071.27 = 88,086.75/x
  3. Step 3: Cross multiply
    312,706.68x = 469,071.27 × 88,086.75
  4. Step 4: Simplify right side
    312,706.68x = 41,318,963,692.67
  5. Step 5: Solve for x
    x = 41,318,963,692.67/312,706.68
  6. Step 6: Final answer
    x = 132,133.29

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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.