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Finding the Fourth Proportional to 218,971.80, 328,454.46 and 119,108.52

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Solution

The fourth proportional to 218,971.80, 328,454.46 and 119,108.52 is: 178,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,971.80 : 328,454.46 = 119,108.52 : x
  2. Step 2: Convert to fraction form
    218,971.80/328,454.46 = 119,108.52/x
  3. Step 3: Cross multiply
    218,971.80x = 328,454.46 × 119,108.52
  4. Step 4: Simplify right side
    218,971.80x = 39,121,724,618.00
  5. Step 5: Solve for x
    x = 39,121,724,618.00/218,971.80
  6. Step 6: Final answer
    x = 178,661.02

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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.