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Finding the Fourth Proportional to 154,160.92, 231,237.78 and 71,054.92

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Solution

The fourth proportional to 154,160.92, 231,237.78 and 71,054.92 is: 106,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,160.92 : 231,237.78 = 71,054.92 : x
  2. Step 2: Convert to fraction form
    154,160.92/231,237.78 = 71,054.92/x
  3. Step 3: Cross multiply
    154,160.92x = 231,237.78 × 71,054.92
  4. Step 4: Simplify right side
    154,160.92x = 16,430,581,958.88
  5. Step 5: Solve for x
    x = 16,430,581,958.88/154,160.92
  6. Step 6: Final answer
    x = 106,580.72

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1.5x scale

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.