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Finding the Fourth Proportional to 103,148.46, 154,753.99 and 49,841.87

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Solution

The fourth proportional to 103,148.46, 154,753.99 and 49,841.87 is: 74,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,148.46 : 154,753.99 = 49,841.87 : x
  2. Step 2: Convert to fraction form
    103,148.46/154,753.99 = 49,841.87/x
  3. Step 3: Cross multiply
    103,148.46x = 154,753.99 × 49,841.87
  4. Step 4: Simplify right side
    103,148.46x = 7,713,227,353.19
  5. Step 5: Solve for x
    x = 7,713,227,353.19/103,148.46
  6. Step 6: Final answer
    x = 74,777.92

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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.