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Finding the Fourth Proportional to 102,840.52, 154,264.14 and 35,371.86

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Solution

The fourth proportional to 102,840.52, 154,264.14 and 35,371.86 is: 53,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,840.52 : 154,264.14 = 35,371.86 : x
  2. Step 2: Convert to fraction form
    102,840.52/154,264.14 = 35,371.86/x
  3. Step 3: Cross multiply
    102,840.52x = 154,264.14 × 35,371.86
  4. Step 4: Simplify right side
    102,840.52x = 5,456,609,563.10
  5. Step 5: Solve for x
    x = 5,456,609,563.10/102,840.52
  6. Step 6: Final answer
    x = 53,058.95

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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.