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Finding the Fourth Proportional to 103,976.40, 155,705.40 and 83,240.40

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Solution

The fourth proportional to 103,976.40, 155,705.40 and 83,240.40 is: 124,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,976.40 : 155,705.40 = 83,240.40 : x
  2. Step 2: Convert to fraction form
    103,976.40/155,705.40 = 83,240.40/x
  3. Step 3: Cross multiply
    103,976.40x = 155,705.40 × 83,240.40
  4. Step 4: Simplify right side
    103,976.40x = 12,960,979,778.16
  5. Step 5: Solve for x
    x = 12,960,979,778.16/103,976.40
  6. Step 6: Final answer
    x = 124,653.09

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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.