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Finding the Fourth Proportional to 161,569, 222,982.50 and 94,557.16

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Solution

The fourth proportional to 161,569, 222,982.50 and 94,557.16 is: 130,498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,569 : 222,982.50 = 94,557.16 : x
  2. Step 2: Convert to fraction form
    161,569/222,982.50 = 94,557.16/x
  3. Step 3: Cross multiply
    161,569x = 222,982.50 × 94,557.16
  4. Step 4: Simplify right side
    161,569x = 21,084,591,929.70
  5. Step 5: Solve for x
    x = 21,084,591,929.70/161,569
  6. Step 6: Final answer
    x = 130,498.99

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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.