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Finding the Fourth Proportional to 173,344, 260,016 and 42,016

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Solution

The fourth proportional to 173,344, 260,016 and 42,016 is: 63,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,344 : 260,016 = 42,016 : x
  2. Step 2: Convert to fraction form
    173,344/260,016 = 42,016/x
  3. Step 3: Cross multiply
    173,344x = 260,016 × 42,016
  4. Step 4: Simplify right side
    173,344x = 10,924,832,256
  5. Step 5: Solve for x
    x = 10,924,832,256/173,344
  6. Step 6: Final answer
    x = 63,024

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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.