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Finding the Fourth Proportional to 218,779.20, 327,970.80 and 152,251.20

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Solution

The fourth proportional to 218,779.20, 327,970.80 and 152,251.20 is: 228,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,779.20 : 327,970.80 = 152,251.20 : x
  2. Step 2: Convert to fraction form
    218,779.20/327,970.80 = 152,251.20/x
  3. Step 3: Cross multiply
    218,779.20x = 327,970.80 × 152,251.20
  4. Step 4: Simplify right side
    218,779.20x = 49,933,947,864.96
  5. Step 5: Solve for x
    x = 49,933,947,864.96/218,779.20
  6. Step 6: Final answer
    x = 228,239.01

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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.