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Finding the Fourth Proportional to 102,818.81, 154,228.20 and 57,843.15

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Solution

The fourth proportional to 102,818.81, 154,228.20 and 57,843.15 is: 86,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,818.81 : 154,228.20 = 57,843.15 : x
  2. Step 2: Convert to fraction form
    102,818.81/154,228.20 = 57,843.15/x
  3. Step 3: Cross multiply
    102,818.81x = 154,228.20 × 57,843.15
  4. Step 4: Simplify right side
    102,818.81x = 8,921,044,906.83
  5. Step 5: Solve for x
    x = 8,921,044,906.83/102,818.81
  6. Step 6: Final answer
    x = 86,764.72

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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.