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Finding the Fourth Proportional to 232,877.60, 349,738.80 and 203,847.20

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Solution

The fourth proportional to 232,877.60, 349,738.80 and 203,847.20 is: 306,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,877.60 : 349,738.80 = 203,847.20 : x
  2. Step 2: Convert to fraction form
    232,877.60/349,738.80 = 203,847.20/x
  3. Step 3: Cross multiply
    232,877.60x = 349,738.80 × 203,847.20
  4. Step 4: Simplify right side
    232,877.60x = 71,293,275,111.36
  5. Step 5: Solve for x
    x = 71,293,275,111.36/232,877.60
  6. Step 6: Final answer
    x = 306,140.54

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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.