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Finding the Fourth Proportional to 223,512.60, 308,443 and 121,537.20

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Solution

The fourth proportional to 223,512.60, 308,443 and 121,537.20 is: 167,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,512.60 : 308,443 = 121,537.20 : x
  2. Step 2: Convert to fraction form
    223,512.60/308,443 = 121,537.20/x
  3. Step 3: Cross multiply
    223,512.60x = 308,443 × 121,537.20
  4. Step 4: Simplify right side
    223,512.60x = 37,487,298,579.60
  5. Step 5: Solve for x
    x = 37,487,298,579.60/223,512.60
  6. Step 6: Final answer
    x = 167,718.95

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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.