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Finding the Fourth Proportional to 178,461.26, 267,334.98 and 107,344.64

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Solution

The fourth proportional to 178,461.26, 267,334.98 and 107,344.64 is: 160,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,461.26 : 267,334.98 = 107,344.64 : x
  2. Step 2: Convert to fraction form
    178,461.26/267,334.98 = 107,344.64/x
  3. Step 3: Cross multiply
    178,461.26x = 267,334.98 × 107,344.64
  4. Step 4: Simplify right side
    178,461.26x = 28,696,975,850.83
  5. Step 5: Solve for x
    x = 28,696,975,850.83/178,461.26
  6. Step 6: Final answer
    x = 160,802.28

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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.