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Finding the Fourth Proportional to 243,020.80, 364,531.20 and 209,195.20

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Solution

The fourth proportional to 243,020.80, 364,531.20 and 209,195.20 is: 313,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,020.80 : 364,531.20 = 209,195.20 : x
  2. Step 2: Convert to fraction form
    243,020.80/364,531.20 = 209,195.20/x
  3. Step 3: Cross multiply
    243,020.80x = 364,531.20 × 209,195.20
  4. Step 4: Simplify right side
    243,020.80x = 76,258,177,290.24
  5. Step 5: Solve for x
    x = 76,258,177,290.24/243,020.80
  6. Step 6: Final answer
    x = 313,792.80

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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.