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Finding the Fourth Proportional to 109,506.78, 164,047.14 and 71,952.75

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Solution

The fourth proportional to 109,506.78, 164,047.14 and 71,952.75 is: 107,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,506.78 : 164,047.14 = 71,952.75 : x
  2. Step 2: Convert to fraction form
    109,506.78/164,047.14 = 71,952.75/x
  3. Step 3: Cross multiply
    109,506.78x = 164,047.14 × 71,952.75
  4. Step 4: Simplify right side
    109,506.78x = 11,803,642,852.64
  5. Step 5: Solve for x
    x = 11,803,642,852.64/109,506.78
  6. Step 6: Final answer
    x = 107,789.15

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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.