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Finding the Fourth Proportional to 160,522.92, 240,786.74 and 76,291.68

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Solution

The fourth proportional to 160,522.92, 240,786.74 and 76,291.68 is: 114,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,522.92 : 240,786.74 = 76,291.68 : x
  2. Step 2: Convert to fraction form
    160,522.92/240,786.74 = 76,291.68/x
  3. Step 3: Cross multiply
    160,522.92x = 240,786.74 × 76,291.68
  4. Step 4: Simplify right side
    160,522.92x = 18,370,025,332.79
  5. Step 5: Solve for x
    x = 18,370,025,332.79/160,522.92
  6. Step 6: Final answer
    x = 114,438.64

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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.