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Finding the Fourth Proportional to 148,421.84, 222,500.63 and 53,630.88

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Solution

The fourth proportional to 148,421.84, 222,500.63 and 53,630.88 is: 80,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,421.84 : 222,500.63 = 53,630.88 : x
  2. Step 2: Convert to fraction form
    148,421.84/222,500.63 = 53,630.88/x
  3. Step 3: Cross multiply
    148,421.84x = 222,500.63 × 53,630.88
  4. Step 4: Simplify right side
    148,421.84x = 11,932,904,319.30
  5. Step 5: Solve for x
    x = 11,932,904,319.30/148,421.84
  6. Step 6: Final answer
    x = 80,398.58

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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.