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Finding the Fourth Proportional to 151,609.92, 209,222.46 and 83,629.32

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Solution

The fourth proportional to 151,609.92, 209,222.46 and 83,629.32 is: 115,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,609.92 : 209,222.46 = 83,629.32 : x
  2. Step 2: Convert to fraction form
    151,609.92/209,222.46 = 83,629.32/x
  3. Step 3: Cross multiply
    151,609.92x = 209,222.46 × 83,629.32
  4. Step 4: Simplify right side
    151,609.92x = 17,497,132,058.53
  5. Step 5: Solve for x
    x = 17,497,132,058.53/151,609.92
  6. Step 6: Final answer
    x = 115,408.89

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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.