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Finding the Fourth Proportional to 158,872.16, 237,943.74 and 92,146.80

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Solution

The fourth proportional to 158,872.16, 237,943.74 and 92,146.80 is: 138,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,872.16 : 237,943.74 = 92,146.80 : x
  2. Step 2: Convert to fraction form
    158,872.16/237,943.74 = 92,146.80/x
  3. Step 3: Cross multiply
    158,872.16x = 237,943.74 × 92,146.80
  4. Step 4: Simplify right side
    158,872.16x = 21,925,754,221.03
  5. Step 5: Solve for x
    x = 21,925,754,221.03/158,872.16
  6. Step 6: Final answer
    x = 138,008.79

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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.