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Finding the Fourth Proportional to 107,354.70, 160,983.45 and 40,772.70

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Solution

The fourth proportional to 107,354.70, 160,983.45 and 40,772.70 is: 61,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,354.70 : 160,983.45 = 40,772.70 : x
  2. Step 2: Convert to fraction form
    107,354.70/160,983.45 = 40,772.70/x
  3. Step 3: Cross multiply
    107,354.70x = 160,983.45 × 40,772.70
  4. Step 4: Simplify right side
    107,354.70x = 6,563,729,911.82
  5. Step 5: Solve for x
    x = 6,563,729,911.82/107,354.70
  6. Step 6: Final answer
    x = 61,140.59

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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.