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Finding the Fourth Proportional to 109,959.44, 151,744.30 and 59,658.44

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Solution

The fourth proportional to 109,959.44, 151,744.30 and 59,658.44 is: 82,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,959.44 : 151,744.30 = 59,658.44 : x
  2. Step 2: Convert to fraction form
    109,959.44/151,744.30 = 59,658.44/x
  3. Step 3: Cross multiply
    109,959.44x = 151,744.30 × 59,658.44
  4. Step 4: Simplify right side
    109,959.44x = 9,052,828,216.89
  5. Step 5: Solve for x
    x = 9,052,828,216.89/109,959.44
  6. Step 6: Final answer
    x = 82,328.80

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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.