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Finding the Fourth Proportional to 107,148.96, 160,724.66 and 40,571.01

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Solution

The fourth proportional to 107,148.96, 160,724.66 and 40,571.01 is: 60,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,148.96 : 160,724.66 = 40,571.01 : x
  2. Step 2: Convert to fraction form
    107,148.96/160,724.66 = 40,571.01/x
  3. Step 3: Cross multiply
    107,148.96x = 160,724.66 × 40,571.01
  4. Step 4: Simplify right side
    107,148.96x = 6,520,761,585.25
  5. Step 5: Solve for x
    x = 6,520,761,585.25/107,148.96
  6. Step 6: Final answer
    x = 60,856.98

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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.