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Finding the Fourth Proportional to 218,709.38, 328,064.08 and 52,497.38

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Solution

The fourth proportional to 218,709.38, 328,064.08 and 52,497.38 is: 78,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709.38 : 328,064.08 = 52,497.38 : x
  2. Step 2: Convert to fraction form
    218,709.38/328,064.08 = 52,497.38/x
  3. Step 3: Cross multiply
    218,709.38x = 328,064.08 × 52,497.38
  4. Step 4: Simplify right side
    218,709.38x = 17,222,504,672.11
  5. Step 5: Solve for x
    x = 17,222,504,672.11/218,709.38
  6. Step 6: Final answer
    x = 78,746.07

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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.