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Finding the Fourth Proportional to 232,557.40, 348,803.34 and 74,765.80

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Solution

The fourth proportional to 232,557.40, 348,803.34 and 74,765.80 is: 112,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,557.40 : 348,803.34 = 74,765.80 : x
  2. Step 2: Convert to fraction form
    232,557.40/348,803.34 = 74,765.80/x
  3. Step 3: Cross multiply
    232,557.40x = 348,803.34 × 74,765.80
  4. Step 4: Simplify right side
    232,557.40x = 26,078,560,757.77
  5. Step 5: Solve for x
    x = 26,078,560,757.77/232,557.40
  6. Step 6: Final answer
    x = 112,138.17

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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.