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Finding the Fourth Proportional to 148,421.72, 204,821.34 and 81,353.72

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Solution

The fourth proportional to 148,421.72, 204,821.34 and 81,353.72 is: 112,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,421.72 : 204,821.34 = 81,353.72 : x
  2. Step 2: Convert to fraction form
    148,421.72/204,821.34 = 81,353.72/x
  3. Step 3: Cross multiply
    148,421.72x = 204,821.34 × 81,353.72
  4. Step 4: Simplify right side
    148,421.72x = 16,662,977,944.38
  5. Step 5: Solve for x
    x = 16,662,977,944.38/148,421.72
  6. Step 6: Final answer
    x = 112,267.79

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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.