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Finding the Fourth Proportional to 148,257, 222,407.24 and 47,021.30

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Solution

The fourth proportional to 148,257, 222,407.24 and 47,021.30 is: 70,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,257 : 222,407.24 = 47,021.30 : x
  2. Step 2: Convert to fraction form
    148,257/222,407.24 = 47,021.30/x
  3. Step 3: Cross multiply
    148,257x = 222,407.24 × 47,021.30
  4. Step 4: Simplify right side
    148,257x = 10,457,876,207.07
  5. Step 5: Solve for x
    x = 10,457,876,207.07/148,257
  6. Step 6: Final answer
    x = 70,538.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.