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Finding the Fourth Proportional to 117,164.26, 175,710 and 42,274.66

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Solution

The fourth proportional to 117,164.26, 175,710 and 42,274.66 is: 63,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,164.26 : 175,710 = 42,274.66 : x
  2. Step 2: Convert to fraction form
    117,164.26/175,710 = 42,274.66/x
  3. Step 3: Cross multiply
    117,164.26x = 175,710 × 42,274.66
  4. Step 4: Simplify right side
    117,164.26x = 7,428,080,508.60
  5. Step 5: Solve for x
    x = 7,428,080,508.60/117,164.26
  6. Step 6: Final answer
    x = 63,398.86

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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.