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Finding the Fourth Proportional to 218,886.72, 328,346.28 and 78,646.56

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Solution

The fourth proportional to 218,886.72, 328,346.28 and 78,646.56 is: 117,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,886.72 : 328,346.28 = 78,646.56 : x
  2. Step 2: Convert to fraction form
    218,886.72/328,346.28 = 78,646.56/x
  3. Step 3: Cross multiply
    218,886.72x = 328,346.28 × 78,646.56
  4. Step 4: Simplify right side
    218,886.72x = 25,823,305,410.80
  5. Step 5: Solve for x
    x = 25,823,305,410.80/218,886.72
  6. Step 6: Final answer
    x = 117,975.66

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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.