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Finding the Fourth Proportional to 103,275.36, 154,978.56 and 44,111.40

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Solution

The fourth proportional to 103,275.36, 154,978.56 and 44,111.40 is: 66,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,275.36 : 154,978.56 = 44,111.40 : x
  2. Step 2: Convert to fraction form
    103,275.36/154,978.56 = 44,111.40/x
  3. Step 3: Cross multiply
    103,275.36x = 154,978.56 × 44,111.40
  4. Step 4: Simplify right side
    103,275.36x = 6,836,321,251.58
  5. Step 5: Solve for x
    x = 6,836,321,251.58/103,275.36
  6. Step 6: Final answer
    x = 66,195.09

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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.