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Finding the Fourth Proportional to 238,048.20, 357,072.30 and 206,944.20

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Solution

The fourth proportional to 238,048.20, 357,072.30 and 206,944.20 is: 310,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,048.20 : 357,072.30 = 206,944.20 : x
  2. Step 2: Convert to fraction form
    238,048.20/357,072.30 = 206,944.20/x
  3. Step 3: Cross multiply
    238,048.20x = 357,072.30 × 206,944.20
  4. Step 4: Simplify right side
    238,048.20x = 73,894,041,465.66
  5. Step 5: Solve for x
    x = 73,894,041,465.66/238,048.20
  6. Step 6: Final answer
    x = 310,416.30

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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.