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Finding the Fourth Proportional to 103,164.64, 142,367.97 and 67,333.48

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Solution

The fourth proportional to 103,164.64, 142,367.97 and 67,333.48 is: 92,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,164.64 : 142,367.97 = 67,333.48 : x
  2. Step 2: Convert to fraction form
    103,164.64/142,367.97 = 67,333.48/x
  3. Step 3: Cross multiply
    103,164.64x = 142,367.97 × 67,333.48
  4. Step 4: Simplify right side
    103,164.64x = 9,586,130,860.64
  5. Step 5: Solve for x
    x = 9,586,130,860.64/103,164.64
  6. Step 6: Final answer
    x = 92,920.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.