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Finding the Fourth Proportional to 103,258.52, 154,889.49 and 28,378.20

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Solution

The fourth proportional to 103,258.52, 154,889.49 and 28,378.20 is: 42,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,258.52 : 154,889.49 = 28,378.20 : x
  2. Step 2: Convert to fraction form
    103,258.52/154,889.49 = 28,378.20/x
  3. Step 3: Cross multiply
    103,258.52x = 154,889.49 × 28,378.20
  4. Step 4: Simplify right side
    103,258.52x = 4,395,485,641.46
  5. Step 5: Solve for x
    x = 4,395,485,641.46/103,258.52
  6. Step 6: Final answer
    x = 42,567.78

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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.