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Finding the Fourth Proportional to 154,656.40, 213,443.60 and 86,691.76

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Solution

The fourth proportional to 154,656.40, 213,443.60 and 86,691.76 is: 119,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,656.40 : 213,443.60 = 86,691.76 : x
  2. Step 2: Convert to fraction form
    154,656.40/213,443.60 = 86,691.76/x
  3. Step 3: Cross multiply
    154,656.40x = 213,443.60 × 86,691.76
  4. Step 4: Simplify right side
    154,656.40x = 18,503,801,344.74
  5. Step 5: Solve for x
    x = 18,503,801,344.74/154,656.40
  6. Step 6: Final answer
    x = 119,644.59

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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.