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Finding the Fourth Proportional to 218,902.70, 328,354.05 and 85,738.70

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Solution

The fourth proportional to 218,902.70, 328,354.05 and 85,738.70 is: 128,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,902.70 : 328,354.05 = 85,738.70 : x
  2. Step 2: Convert to fraction form
    218,902.70/328,354.05 = 85,738.70/x
  3. Step 3: Cross multiply
    218,902.70x = 328,354.05 × 85,738.70
  4. Step 4: Simplify right side
    218,902.70x = 28,152,649,386.74
  5. Step 5: Solve for x
    x = 28,152,649,386.74/218,902.70
  6. Step 6: Final answer
    x = 128,608.05

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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.