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Finding the Fourth Proportional to 106,357.82, 146,773.15 and 57,959.64

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Solution

The fourth proportional to 106,357.82, 146,773.15 and 57,959.64 is: 79,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357.82 : 146,773.15 = 57,959.64 : x
  2. Step 2: Convert to fraction form
    106,357.82/146,773.15 = 57,959.64/x
  3. Step 3: Cross multiply
    106,357.82x = 146,773.15 × 57,959.64
  4. Step 4: Simplify right side
    106,357.82x = 8,506,918,935.67
  5. Step 5: Solve for x
    x = 8,506,918,935.67/106,357.82
  6. Step 6: Final answer
    x = 79,983.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.