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Finding the Fourth Proportional to 107,246.40, 160,999.20 and 106,468.80

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Solution

The fourth proportional to 107,246.40, 160,999.20 and 106,468.80 is: 159,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,246.40 : 160,999.20 = 106,468.80 : x
  2. Step 2: Convert to fraction form
    107,246.40/160,999.20 = 106,468.80/x
  3. Step 3: Cross multiply
    107,246.40x = 160,999.20 × 106,468.80
  4. Step 4: Simplify right side
    107,246.40x = 17,141,391,624.96
  5. Step 5: Solve for x
    x = 17,141,391,624.96/107,246.40
  6. Step 6: Final answer
    x = 159,831.86

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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.