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Finding the Fourth Proportional to 109,859.80, 164,984.10 and 84,960.40

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Solution

The fourth proportional to 109,859.80, 164,984.10 and 84,960.40 is: 127,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,859.80 : 164,984.10 = 84,960.40 : x
  2. Step 2: Convert to fraction form
    109,859.80/164,984.10 = 84,960.40/x
  3. Step 3: Cross multiply
    109,859.80x = 164,984.10 × 84,960.40
  4. Step 4: Simplify right side
    109,859.80x = 14,017,115,129.64
  5. Step 5: Solve for x
    x = 14,017,115,129.64/109,859.80
  6. Step 6: Final answer
    x = 127,590.94

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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.