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Finding the Fourth Proportional to 292,022.14, 402,989.80 and 162,959.24

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Solution

The fourth proportional to 292,022.14, 402,989.80 and 162,959.24 is: 224,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,022.14 : 402,989.80 = 162,959.24 : x
  2. Step 2: Convert to fraction form
    292,022.14/402,989.80 = 162,959.24/x
  3. Step 3: Cross multiply
    292,022.14x = 402,989.80 × 162,959.24
  4. Step 4: Simplify right side
    292,022.14x = 65,670,910,174.56
  5. Step 5: Solve for x
    x = 65,670,910,174.56/292,022.14
  6. Step 6: Final answer
    x = 224,883.33

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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.