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Finding the Fourth Proportional to 153,706.73, 212,114.87 and 85,723.78

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Solution

The fourth proportional to 153,706.73, 212,114.87 and 85,723.78 is: 118,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,706.73 : 212,114.87 = 85,723.78 : x
  2. Step 2: Convert to fraction form
    153,706.73/212,114.87 = 85,723.78/x
  3. Step 3: Cross multiply
    153,706.73x = 212,114.87 × 85,723.78
  4. Step 4: Simplify right side
    153,706.73x = 18,183,288,450.61
  5. Step 5: Solve for x
    x = 18,183,288,450.61/153,706.73
  6. Step 6: Final answer
    x = 118,298.58

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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.