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Finding the Fourth Proportional to 109,956.95, 164,984.63 and 63,209.82

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Solution

The fourth proportional to 109,956.95, 164,984.63 and 63,209.82 is: 94,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,956.95 : 164,984.63 = 63,209.82 : x
  2. Step 2: Convert to fraction form
    109,956.95/164,984.63 = 63,209.82/x
  3. Step 3: Cross multiply
    109,956.95x = 164,984.63 × 63,209.82
  4. Step 4: Simplify right side
    109,956.95x = 10,428,648,765.07
  5. Step 5: Solve for x
    x = 10,428,648,765.07/109,956.95
  6. Step 6: Final answer
    x = 94,843.02

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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.