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Finding the Fourth Proportional to 159,588.16, 220,231.61 and 87,969.38

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Solution

The fourth proportional to 159,588.16, 220,231.61 and 87,969.38 is: 121,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,588.16 : 220,231.61 = 87,969.38 : x
  2. Step 2: Convert to fraction form
    159,588.16/220,231.61 = 87,969.38/x
  3. Step 3: Cross multiply
    159,588.16x = 220,231.61 × 87,969.38
  4. Step 4: Simplify right side
    159,588.16x = 19,373,637,802.85
  5. Step 5: Solve for x
    x = 19,373,637,802.85/159,588.16
  6. Step 6: Final answer
    x = 121,397.71

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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.