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Finding the Fourth Proportional to 292,198.20, 438,128.28 and 114,497.16

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Solution

The fourth proportional to 292,198.20, 438,128.28 and 114,497.16 is: 171,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,198.20 : 438,128.28 = 114,497.16 : x
  2. Step 2: Convert to fraction form
    292,198.20/438,128.28 = 114,497.16/x
  3. Step 3: Cross multiply
    292,198.20x = 438,128.28 × 114,497.16
  4. Step 4: Simplify right side
    292,198.20x = 50,164,443,775.68
  5. Step 5: Solve for x
    x = 50,164,443,775.68/292,198.20
  6. Step 6: Final answer
    x = 171,679.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.