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Finding the Fourth Proportional to 259,164.35, 388,799.34 and 146,894.70

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Solution

The fourth proportional to 259,164.35, 388,799.34 and 146,894.70 is: 220,371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,164.35 : 388,799.34 = 146,894.70 : x
  2. Step 2: Convert to fraction form
    259,164.35/388,799.34 = 146,894.70/x
  3. Step 3: Cross multiply
    259,164.35x = 388,799.34 × 146,894.70
  4. Step 4: Simplify right side
    259,164.35x = 57,112,562,409.50
  5. Step 5: Solve for x
    x = 57,112,562,409.50/259,164.35
  6. Step 6: Final answer
    x = 220,371.99

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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.