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Finding the Fourth Proportional to 232,003.80, 348,005.70 and 198,178.20

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Solution

The fourth proportional to 232,003.80, 348,005.70 and 198,178.20 is: 297,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,003.80 : 348,005.70 = 198,178.20 : x
  2. Step 2: Convert to fraction form
    232,003.80/348,005.70 = 198,178.20/x
  3. Step 3: Cross multiply
    232,003.80x = 348,005.70 × 198,178.20
  4. Step 4: Simplify right side
    232,003.80x = 68,967,143,215.74
  5. Step 5: Solve for x
    x = 68,967,143,215.74/232,003.80
  6. Step 6: Final answer
    x = 297,267.30

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1.5x scale

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.