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Finding the Fourth Proportional to 297,060.35, 445,616.81 and 83,830.14

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Solution

The fourth proportional to 297,060.35, 445,616.81 and 83,830.14 is: 125,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,060.35 : 445,616.81 = 83,830.14 : x
  2. Step 2: Convert to fraction form
    297,060.35/445,616.81 = 83,830.14/x
  3. Step 3: Cross multiply
    297,060.35x = 445,616.81 × 83,830.14
  4. Step 4: Simplify right side
    297,060.35x = 37,356,119,568.65
  5. Step 5: Solve for x
    x = 37,356,119,568.65/297,060.35
  6. Step 6: Final answer
    x = 125,752.63

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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.