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Finding the Fourth Proportional to 218,902.30, 328,098.30 and 100,585.60

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Solution

The fourth proportional to 218,902.30, 328,098.30 and 100,585.60 is: 150,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,902.30 : 328,098.30 = 100,585.60 : x
  2. Step 2: Convert to fraction form
    218,902.30/328,098.30 = 100,585.60/x
  3. Step 3: Cross multiply
    218,902.30x = 328,098.30 × 100,585.60
  4. Step 4: Simplify right side
    218,902.30x = 33,001,964,364.48
  5. Step 5: Solve for x
    x = 33,001,964,364.48/218,902.30
  6. Step 6: Final answer
    x = 150,761.16

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1.5x scale

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.