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Finding the Fourth Proportional to 160,021.64, 220,842.78 and 88,407.92

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Solution

The fourth proportional to 160,021.64, 220,842.78 and 88,407.92 is: 122,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,021.64 : 220,842.78 = 88,407.92 : x
  2. Step 2: Convert to fraction form
    160,021.64/220,842.78 = 88,407.92/x
  3. Step 3: Cross multiply
    160,021.64x = 220,842.78 × 88,407.92
  4. Step 4: Simplify right side
    160,021.64x = 19,524,250,826.82
  5. Step 5: Solve for x
    x = 19,524,250,826.82/160,021.64
  6. Step 6: Final answer
    x = 122,010.07

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1.5x scale

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.