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Finding the Fourth Proportional to 122,016.16, 182,726.16 and 75,204.64

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Solution

The fourth proportional to 122,016.16, 182,726.16 and 75,204.64 is: 112,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,016.16 : 182,726.16 = 75,204.64 : x
  2. Step 2: Convert to fraction form
    122,016.16/182,726.16 = 75,204.64/x
  3. Step 3: Cross multiply
    122,016.16x = 182,726.16 × 75,204.64
  4. Step 4: Simplify right side
    122,016.16x = 13,741,855,081.38
  5. Step 5: Solve for x
    x = 13,741,855,081.38/122,016.16
  6. Step 6: Final answer
    x = 112,623.24

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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.