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Finding the Fourth Proportional to 232,970.70, 349,456.05 and 66,758.70

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Solution

The fourth proportional to 232,970.70, 349,456.05 and 66,758.70 is: 100,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,970.70 : 349,456.05 = 66,758.70 : x
  2. Step 2: Convert to fraction form
    232,970.70/349,456.05 = 66,758.70/x
  3. Step 3: Cross multiply
    232,970.70x = 349,456.05 × 66,758.70
  4. Step 4: Simplify right side
    232,970.70x = 23,329,231,605.14
  5. Step 5: Solve for x
    x = 23,329,231,605.14/232,970.70
  6. Step 6: Final answer
    x = 100,138.05

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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.