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Finding the Fourth Proportional to 178,436.12, 267,724.23 and 78,526.23

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Solution

The fourth proportional to 178,436.12, 267,724.23 and 78,526.23 is: 117,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,436.12 : 267,724.23 = 78,526.23 : x
  2. Step 2: Convert to fraction form
    178,436.12/267,724.23 = 78,526.23/x
  3. Step 3: Cross multiply
    178,436.12x = 267,724.23 × 78,526.23
  4. Step 4: Simplify right side
    178,436.12x = 21,023,373,383.97
  5. Step 5: Solve for x
    x = 21,023,373,383.97/178,436.12
  6. Step 6: Final answer
    x = 117,820.17

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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.