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Finding the Fourth Proportional to 218,811.10, 328,227.45 and 113,835.10

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Solution

The fourth proportional to 218,811.10, 328,227.45 and 113,835.10 is: 170,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,811.10 : 328,227.45 = 113,835.10 : x
  2. Step 2: Convert to fraction form
    218,811.10/328,227.45 = 113,835.10/x
  3. Step 3: Cross multiply
    218,811.10x = 328,227.45 × 113,835.10
  4. Step 4: Simplify right side
    218,811.10x = 37,363,804,593.50
  5. Step 5: Solve for x
    x = 37,363,804,593.50/218,811.10
  6. Step 6: Final answer
    x = 170,758.27

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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.