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Finding the Fourth Proportional to 106,508.72, 159,784.95 and 43,328.68

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Solution

The fourth proportional to 106,508.72, 159,784.95 and 43,328.68 is: 65,001.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,508.72 : 159,784.95 = 43,328.68 : x
  2. Step 2: Convert to fraction form
    106,508.72/159,784.95 = 43,328.68/x
  3. Step 3: Cross multiply
    106,508.72x = 159,784.95 × 43,328.68
  4. Step 4: Simplify right side
    106,508.72x = 6,923,271,853.87
  5. Step 5: Solve for x
    x = 6,923,271,853.87/106,508.72
  6. Step 6: Final answer
    x = 65,001.92

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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.