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Finding the Fourth Proportional to 313,164.54, 469,995.84 and 113,542.02

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Solution

The fourth proportional to 313,164.54, 469,995.84 and 113,542.02 is: 170,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,164.54 : 469,995.84 = 113,542.02 : x
  2. Step 2: Convert to fraction form
    313,164.54/469,995.84 = 113,542.02/x
  3. Step 3: Cross multiply
    313,164.54x = 469,995.84 × 113,542.02
  4. Step 4: Simplify right side
    313,164.54x = 53,364,277,065.20
  5. Step 5: Solve for x
    x = 53,364,277,065.20/313,164.54
  6. Step 6: Final answer
    x = 170,403.32

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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.