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Finding the Fourth Proportional to 151,578.48, 209,169.24 and 83,592.24

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Solution

The fourth proportional to 151,578.48, 209,169.24 and 83,592.24 is: 115,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,578.48 : 209,169.24 = 83,592.24 : x
  2. Step 2: Convert to fraction form
    151,578.48/209,169.24 = 83,592.24/x
  3. Step 3: Cross multiply
    151,578.48x = 209,169.24 × 83,592.24
  4. Step 4: Simplify right side
    151,578.48x = 17,484,925,310.70
  5. Step 5: Solve for x
    x = 17,484,925,310.70/151,578.48
  6. Step 6: Final answer
    x = 115,352.29

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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.