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Finding the Fourth Proportional to 115,656.72, 159,604.20 and 65,354.64

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Solution

The fourth proportional to 115,656.72, 159,604.20 and 65,354.64 is: 90,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,656.72 : 159,604.20 = 65,354.64 : x
  2. Step 2: Convert to fraction form
    115,656.72/159,604.20 = 65,354.64/x
  3. Step 3: Cross multiply
    115,656.72x = 159,604.20 × 65,354.64
  4. Step 4: Simplify right side
    115,656.72x = 10,430,875,033.49
  5. Step 5: Solve for x
    x = 10,430,875,033.49/115,656.72
  6. Step 6: Final answer
    x = 90,188.23

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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.