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Finding the Fourth Proportional to 296,154, 408,698.44 and 162,020.88

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Solution

The fourth proportional to 296,154, 408,698.44 and 162,020.88 is: 223,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,154 : 408,698.44 = 162,020.88 : x
  2. Step 2: Convert to fraction form
    296,154/408,698.44 = 162,020.88/x
  3. Step 3: Cross multiply
    296,154x = 408,698.44 × 162,020.88
  4. Step 4: Simplify right side
    296,154x = 66,217,680,903.43
  5. Step 5: Solve for x
    x = 66,217,680,903.43/296,154
  6. Step 6: Final answer
    x = 223,592.05

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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.