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Finding the Fourth Proportional to 109,853.70, 164,780.55 and 109,076.10

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Solution

The fourth proportional to 109,853.70, 164,780.55 and 109,076.10 is: 163,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,853.70 : 164,780.55 = 109,076.10 : x
  2. Step 2: Convert to fraction form
    109,853.70/164,780.55 = 109,076.10/x
  3. Step 3: Cross multiply
    109,853.70x = 164,780.55 × 109,076.10
  4. Step 4: Simplify right side
    109,853.70x = 17,973,619,749.86
  5. Step 5: Solve for x
    x = 17,973,619,749.86/109,853.70
  6. Step 6: Final answer
    x = 163,614.15

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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.