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Finding the Fourth Proportional to 153,806.14, 212,251.78 and 85,819.14

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Solution

The fourth proportional to 153,806.14, 212,251.78 and 85,819.14 is: 118,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,806.14 : 212,251.78 = 85,819.14 : x
  2. Step 2: Convert to fraction form
    153,806.14/212,251.78 = 85,819.14/x
  3. Step 3: Cross multiply
    153,806.14x = 212,251.78 × 85,819.14
  4. Step 4: Simplify right side
    153,806.14x = 18,215,264,793.97
  5. Step 5: Solve for x
    x = 18,215,264,793.97/153,806.14
  6. Step 6: Final answer
    x = 118,430.03

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1.5x scale

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.