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Finding the Fourth Proportional to 232,697.97, 348,960.75 and 82,898.46

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Solution

The fourth proportional to 232,697.97, 348,960.75 and 82,898.46 is: 124,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,697.97 : 348,960.75 = 82,898.46 : x
  2. Step 2: Convert to fraction form
    232,697.97/348,960.75 = 82,898.46/x
  3. Step 3: Cross multiply
    232,697.97x = 348,960.75 × 82,898.46
  4. Step 4: Simplify right side
    232,697.97x = 28,928,308,775.45
  5. Step 5: Solve for x
    x = 28,928,308,775.45/232,697.97
  6. Step 6: Final answer
    x = 124,316.98

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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.