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Finding the Fourth Proportional to 206,210.80, 309,316.20 and 153,722.80

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Solution

The fourth proportional to 206,210.80, 309,316.20 and 153,722.80 is: 230,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,210.80 : 309,316.20 = 153,722.80 : x
  2. Step 2: Convert to fraction form
    206,210.80/309,316.20 = 153,722.80/x
  3. Step 3: Cross multiply
    206,210.80x = 309,316.20 × 153,722.80
  4. Step 4: Simplify right side
    206,210.80x = 47,548,952,349.36
  5. Step 5: Solve for x
    x = 47,548,952,349.36/206,210.80
  6. Step 6: Final answer
    x = 230,584.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.