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Finding the Fourth Proportional to 220,605.24, 304,432.38 and 120,003.24

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Solution

The fourth proportional to 220,605.24, 304,432.38 and 120,003.24 is: 165,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,605.24 : 304,432.38 = 120,003.24 : x
  2. Step 2: Convert to fraction form
    220,605.24/304,432.38 = 120,003.24/x
  3. Step 3: Cross multiply
    220,605.24x = 304,432.38 × 120,003.24
  4. Step 4: Simplify right side
    220,605.24x = 36,532,871,960.91
  5. Step 5: Solve for x
    x = 36,532,871,960.91/220,605.24
  6. Step 6: Final answer
    x = 165,602.92

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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.