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Finding the Fourth Proportional to 148,467, 222,142.50 and 104,180.16

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Solution

The fourth proportional to 148,467, 222,142.50 and 104,180.16 is: 155,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,467 : 222,142.50 = 104,180.16 : x
  2. Step 2: Convert to fraction form
    148,467/222,142.50 = 104,180.16/x
  3. Step 3: Cross multiply
    148,467x = 222,142.50 × 104,180.16
  4. Step 4: Simplify right side
    148,467x = 23,142,841,192.80
  5. Step 5: Solve for x
    x = 23,142,841,192.80/148,467
  6. Step 6: Final answer
    x = 155,878.69

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1.5x scale

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.