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Finding the Fourth Proportional to 109,195.94, 163,817.40 and 64,770.68

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Solution

The fourth proportional to 109,195.94, 163,817.40 and 64,770.68 is: 97,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,195.94 : 163,817.40 = 64,770.68 : x
  2. Step 2: Convert to fraction form
    109,195.94/163,817.40 = 64,770.68/x
  3. Step 3: Cross multiply
    109,195.94x = 163,817.40 × 64,770.68
  4. Step 4: Simplify right side
    109,195.94x = 10,610,564,393.83
  5. Step 5: Solve for x
    x = 10,610,564,393.83/109,195.94
  6. Step 6: Final answer
    x = 97,169.95

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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.