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Finding the Fourth Proportional to 107,853.72, 148,849.26 and 64,847.28

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Solution

The fourth proportional to 107,853.72, 148,849.26 and 64,847.28 is: 89,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,853.72 : 148,849.26 = 64,847.28 : x
  2. Step 2: Convert to fraction form
    107,853.72/148,849.26 = 64,847.28/x
  3. Step 3: Cross multiply
    107,853.72x = 148,849.26 × 64,847.28
  4. Step 4: Simplify right side
    107,853.72x = 9,652,469,641.01
  5. Step 5: Solve for x
    x = 9,652,469,641.01/107,853.72
  6. Step 6: Final answer
    x = 89,495.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.