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Finding the Fourth Proportional to 187,151.54, 280,916.54 and 165,940.07

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Solution

The fourth proportional to 187,151.54, 280,916.54 and 165,940.07 is: 249,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,151.54 : 280,916.54 = 165,940.07 : x
  2. Step 2: Convert to fraction form
    187,151.54/280,916.54 = 165,940.07/x
  3. Step 3: Cross multiply
    187,151.54x = 280,916.54 × 165,940.07
  4. Step 4: Simplify right side
    187,151.54x = 46,615,308,077.47
  5. Step 5: Solve for x
    x = 46,615,308,077.47/187,151.54
  6. Step 6: Final answer
    x = 249,077.88

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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.