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Finding the Fourth Proportional to 105,838.98, 158,694.08 and 44,977.50

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Solution

The fourth proportional to 105,838.98, 158,694.08 and 44,977.50 is: 67,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,838.98 : 158,694.08 = 44,977.50 : x
  2. Step 2: Convert to fraction form
    105,838.98/158,694.08 = 44,977.50/x
  3. Step 3: Cross multiply
    105,838.98x = 158,694.08 × 44,977.50
  4. Step 4: Simplify right side
    105,838.98x = 7,137,663,353.42
  5. Step 5: Solve for x
    x = 7,137,663,353.42/105,838.98
  6. Step 6: Final answer
    x = 67,438.89

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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.