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Finding the Fourth Proportional to 238,052.20, 357,078.30 and 206,948.20

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Solution

The fourth proportional to 238,052.20, 357,078.30 and 206,948.20 is: 310,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,052.20 : 357,078.30 = 206,948.20 : x
  2. Step 2: Convert to fraction form
    238,052.20/357,078.30 = 206,948.20/x
  3. Step 3: Cross multiply
    238,052.20x = 357,078.30 × 206,948.20
  4. Step 4: Simplify right side
    238,052.20x = 73,896,711,444.06
  5. Step 5: Solve for x
    x = 73,896,711,444.06/238,052.20
  6. Step 6: Final answer
    x = 310,422.30

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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.