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Finding the Fourth Proportional to 164,792.47, 227,006.87 and 140,514.41

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Solution

The fourth proportional to 164,792.47, 227,006.87 and 140,514.41 is: 193,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,792.47 : 227,006.87 = 140,514.41 : x
  2. Step 2: Convert to fraction form
    164,792.47/227,006.87 = 140,514.41/x
  3. Step 3: Cross multiply
    164,792.47x = 227,006.87 × 140,514.41
  4. Step 4: Simplify right side
    164,792.47x = 31,897,736,404.00
  5. Step 5: Solve for x
    x = 31,897,736,404.00/164,792.47
  6. Step 6: Final answer
    x = 193,563.07

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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.