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Finding the Fourth Proportional to 120,752.22, 166,643.52 and 67,038

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Solution

The fourth proportional to 120,752.22, 166,643.52 and 67,038 is: 92,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,752.22 : 166,643.52 = 67,038 : x
  2. Step 2: Convert to fraction form
    120,752.22/166,643.52 = 67,038/x
  3. Step 3: Cross multiply
    120,752.22x = 166,643.52 × 67,038
  4. Step 4: Simplify right side
    120,752.22x = 11,171,448,293.76
  5. Step 5: Solve for x
    x = 11,171,448,293.76/120,752.22
  6. Step 6: Final answer
    x = 92,515.47

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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.