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Finding the Fourth Proportional to 151,866.90, 209,578.32 and 83,883.67

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Solution

The fourth proportional to 151,866.90, 209,578.32 and 83,883.67 is: 115,760.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,866.90 : 209,578.32 = 83,883.67 : x
  2. Step 2: Convert to fraction form
    151,866.90/209,578.32 = 83,883.67/x
  3. Step 3: Cross multiply
    151,866.90x = 209,578.32 × 83,883.67
  4. Step 4: Simplify right side
    151,866.90x = 17,580,198,110.09
  5. Step 5: Solve for x
    x = 17,580,198,110.09/151,866.90
  6. Step 6: Final answer
    x = 115,760.56

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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.