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Finding the Fourth Proportional to 102,798.54, 154,214.13 and 36,259.02

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Solution

The fourth proportional to 102,798.54, 154,214.13 and 36,259.02 is: 54,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,798.54 : 154,214.13 = 36,259.02 : x
  2. Step 2: Convert to fraction form
    102,798.54/154,214.13 = 36,259.02/x
  3. Step 3: Cross multiply
    102,798.54x = 154,214.13 × 36,259.02
  4. Step 4: Simplify right side
    102,798.54x = 5,591,653,223.95
  5. Step 5: Solve for x
    x = 5,591,653,223.95/102,798.54
  6. Step 6: Final answer
    x = 54,394.29

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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.