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Finding the Fourth Proportional to 178,087.29, 267,102.38 and 65,820.48

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Solution

The fourth proportional to 178,087.29, 267,102.38 and 65,820.48 is: 98,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,087.29 : 267,102.38 = 65,820.48 : x
  2. Step 2: Convert to fraction form
    178,087.29/267,102.38 = 65,820.48/x
  3. Step 3: Cross multiply
    178,087.29x = 267,102.38 × 65,820.48
  4. Step 4: Simplify right side
    178,087.29x = 17,580,806,531.64
  5. Step 5: Solve for x
    x = 17,580,806,531.64/178,087.29
  6. Step 6: Final answer
    x = 98,720.16

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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.