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Finding the Fourth Proportional to 178,583.48, 267,916.13 and 77,398.51

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Solution

The fourth proportional to 178,583.48, 267,916.13 and 77,398.51 is: 116,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,583.48 : 267,916.13 = 77,398.51 : x
  2. Step 2: Convert to fraction form
    178,583.48/267,916.13 = 77,398.51/x
  3. Step 3: Cross multiply
    178,583.48x = 267,916.13 × 77,398.51
  4. Step 4: Simplify right side
    178,583.48x = 20,736,309,266.97
  5. Step 5: Solve for x
    x = 20,736,309,266.97/178,583.48
  6. Step 6: Final answer
    x = 116,115.50

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Why These Related Problems?

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