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Finding the Fourth Proportional to 105,441.40, 157,778.10 and 77,793.40

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Solution

The fourth proportional to 105,441.40, 157,778.10 and 77,793.40 is: 116,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,441.40 : 157,778.10 = 77,793.40 : x
  2. Step 2: Convert to fraction form
    105,441.40/157,778.10 = 77,793.40/x
  3. Step 3: Cross multiply
    105,441.40x = 157,778.10 × 77,793.40
  4. Step 4: Simplify right side
    105,441.40x = 12,274,094,844.54
  5. Step 5: Solve for x
    x = 12,274,094,844.54/105,441.40
  6. Step 6: Final answer
    x = 116,406.79

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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.