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Finding the Fourth Proportional to 105,374.63, 158,061.76 and 49,195.91

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Solution

The fourth proportional to 105,374.63, 158,061.76 and 49,195.91 is: 73,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,374.63 : 158,061.76 = 49,195.91 : x
  2. Step 2: Convert to fraction form
    105,374.63/158,061.76 = 49,195.91/x
  3. Step 3: Cross multiply
    105,374.63x = 158,061.76 × 49,195.91
  4. Step 4: Simplify right side
    105,374.63x = 7,775,992,119.40
  5. Step 5: Solve for x
    x = 7,775,992,119.40/105,374.63
  6. Step 6: Final answer
    x = 73,793.78

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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.