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Finding the Fourth Proportional to 276,851.16, 415,207.62 and 89,916.12

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Solution

The fourth proportional to 276,851.16, 415,207.62 and 89,916.12 is: 134,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,851.16 : 415,207.62 = 89,916.12 : x
  2. Step 2: Convert to fraction form
    276,851.16/415,207.62 = 89,916.12/x
  3. Step 3: Cross multiply
    276,851.16x = 415,207.62 × 89,916.12
  4. Step 4: Simplify right side
    276,851.16x = 37,333,858,184.83
  5. Step 5: Solve for x
    x = 37,333,858,184.83/276,851.16
  6. Step 6: Final answer
    x = 134,851.73

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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.