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Finding the Fourth Proportional to 188,298.95, 259,789.33 and 106,616.05

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Solution

The fourth proportional to 188,298.95, 259,789.33 and 106,616.05 is: 147,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,298.95 : 259,789.33 = 106,616.05 : x
  2. Step 2: Convert to fraction form
    188,298.95/259,789.33 = 106,616.05/x
  3. Step 3: Cross multiply
    188,298.95x = 259,789.33 × 106,616.05
  4. Step 4: Simplify right side
    188,298.95x = 27,697,711,280.73
  5. Step 5: Solve for x
    x = 27,697,711,280.73/188,298.95
  6. Step 6: Final answer
    x = 147,094.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.