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Finding the Fourth Proportional to 109,166.80, 163,757.78 and 42,584.80

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Solution

The fourth proportional to 109,166.80, 163,757.78 and 42,584.80 is: 63,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,166.80 : 163,757.78 = 42,584.80 : x
  2. Step 2: Convert to fraction form
    109,166.80/163,757.78 = 42,584.80/x
  3. Step 3: Cross multiply
    109,166.80x = 163,757.78 × 42,584.80
  4. Step 4: Simplify right side
    109,166.80x = 6,973,592,309.74
  5. Step 5: Solve for x
    x = 6,973,592,309.74/109,166.80
  6. Step 6: Final answer
    x = 63,880.16

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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.