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Finding the Fourth Proportional to 107,794.75, 161,569.51 and 65,581.78

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Solution

The fourth proportional to 107,794.75, 161,569.51 and 65,581.78 is: 98,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,794.75 : 161,569.51 = 65,581.78 : x
  2. Step 2: Convert to fraction form
    107,794.75/161,569.51 = 65,581.78/x
  3. Step 3: Cross multiply
    107,794.75x = 161,569.51 × 65,581.78
  4. Step 4: Simplify right side
    107,794.75x = 10,596,016,059.53
  5. Step 5: Solve for x
    x = 10,596,016,059.53/107,794.75
  6. Step 6: Final answer
    x = 98,298.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.