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Finding the Fourth Proportional to 151,883.52, 209,600.64 and 88,224

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Solution

The fourth proportional to 151,883.52, 209,600.64 and 88,224 is: 121,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,883.52 : 209,600.64 = 88,224 : x
  2. Step 2: Convert to fraction form
    151,883.52/209,600.64 = 88,224/x
  3. Step 3: Cross multiply
    151,883.52x = 209,600.64 × 88,224
  4. Step 4: Simplify right side
    151,883.52x = 18,491,806,863.36
  5. Step 5: Solve for x
    x = 18,491,806,863.36/151,883.52
  6. Step 6: Final answer
    x = 121,749.92

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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.