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Finding the Fourth Proportional to 99,234.27, 148,851.90 and 49,302.63

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Solution

The fourth proportional to 99,234.27, 148,851.90 and 49,302.63 is: 73,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,234.27 : 148,851.90 = 49,302.63 : x
  2. Step 2: Convert to fraction form
    99,234.27/148,851.90 = 49,302.63/x
  3. Step 3: Cross multiply
    99,234.27x = 148,851.90 × 49,302.63
  4. Step 4: Simplify right side
    99,234.27x = 7,338,790,150.50
  5. Step 5: Solve for x
    x = 7,338,790,150.50/99,234.27
  6. Step 6: Final answer
    x = 73,954.19

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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.