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Finding the Fourth Proportional to 105,258.99, 157,778.19 and 49,052.73

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Solution

The fourth proportional to 105,258.99, 157,778.19 and 49,052.73 is: 73,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,258.99 : 157,778.19 = 49,052.73 : x
  2. Step 2: Convert to fraction form
    105,258.99/157,778.19 = 49,052.73/x
  3. Step 3: Cross multiply
    105,258.99x = 157,778.19 × 49,052.73
  4. Step 4: Simplify right side
    105,258.99x = 7,739,450,953.96
  5. Step 5: Solve for x
    x = 7,739,450,953.96/105,258.99
  6. Step 6: Final answer
    x = 73,527.70

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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.