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Finding the Fourth Proportional to 160,659.38, 221,709.94 and 89,050.16

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Solution

The fourth proportional to 160,659.38, 221,709.94 and 89,050.16 is: 122,889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,659.38 : 221,709.94 = 89,050.16 : x
  2. Step 2: Convert to fraction form
    160,659.38/221,709.94 = 89,050.16/x
  3. Step 3: Cross multiply
    160,659.38x = 221,709.94 × 89,050.16
  4. Step 4: Simplify right side
    160,659.38x = 19,743,305,630.59
  5. Step 5: Solve for x
    x = 19,743,305,630.59/160,659.38
  6. Step 6: Final answer
    x = 122,889.22

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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.