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Finding the Fourth Proportional to 299,123.26, 412,795.01 and 163,157.20

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Solution

The fourth proportional to 299,123.26, 412,795.01 and 163,157.20 is: 225,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.26 : 412,795.01 = 163,157.20 : x
  2. Step 2: Convert to fraction form
    299,123.26/412,795.01 = 163,157.20/x
  3. Step 3: Cross multiply
    299,123.26x = 412,795.01 × 163,157.20
  4. Step 4: Simplify right side
    299,123.26x = 67,350,478,005.57
  5. Step 5: Solve for x
    x = 67,350,478,005.57/299,123.26
  6. Step 6: Final answer
    x = 225,159.61

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