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Finding the Fourth Proportional to 297,205, 410,150.10 and 163,069

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Solution

The fourth proportional to 297,205, 410,150.10 and 163,069 is: 225,039.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,205 : 410,150.10 = 163,069 : x
  2. Step 2: Convert to fraction form
    297,205/410,150.10 = 163,069/x
  3. Step 3: Cross multiply
    297,205x = 410,150.10 × 163,069
  4. Step 4: Simplify right side
    297,205x = 66,882,766,656.90
  5. Step 5: Solve for x
    x = 66,882,766,656.90/297,205
  6. Step 6: Final answer
    x = 225,039.17

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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.