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Finding the Fourth Proportional to 109,752.66, 164,515.98 and 43,165.80

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Solution

The fourth proportional to 109,752.66, 164,515.98 and 43,165.80 is: 64,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,752.66 : 164,515.98 = 43,165.80 : x
  2. Step 2: Convert to fraction form
    109,752.66/164,515.98 = 43,165.80/x
  3. Step 3: Cross multiply
    109,752.66x = 164,515.98 × 43,165.80
  4. Step 4: Simplify right side
    109,752.66x = 7,101,463,889.48
  5. Step 5: Solve for x
    x = 7,101,463,889.48/109,752.66
  6. Step 6: Final answer
    x = 64,704.25

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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.