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Finding the Fourth Proportional to 148,362, 222,578 and 48,521.80

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Solution

The fourth proportional to 148,362, 222,578 and 48,521.80 is: 72,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,362 : 222,578 = 48,521.80 : x
  2. Step 2: Convert to fraction form
    148,362/222,578 = 48,521.80/x
  3. Step 3: Cross multiply
    148,362x = 222,578 × 48,521.80
  4. Step 4: Simplify right side
    148,362x = 10,799,885,200.40
  5. Step 5: Solve for x
    x = 10,799,885,200.40/148,362
  6. Step 6: Final answer
    x = 72,794.15

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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.