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Finding the Fourth Proportional to 81,161.70, 121,742.55 and 78,051.30

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Solution

The fourth proportional to 81,161.70, 121,742.55 and 78,051.30 is: 117,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,161.70 : 121,742.55 = 78,051.30 : x
  2. Step 2: Convert to fraction form
    81,161.70/121,742.55 = 78,051.30/x
  3. Step 3: Cross multiply
    81,161.70x = 121,742.55 × 78,051.30
  4. Step 4: Simplify right side
    81,161.70x = 9,502,164,292.82
  5. Step 5: Solve for x
    x = 9,502,164,292.82/81,161.70
  6. Step 6: Final answer
    x = 117,076.95

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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.