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Finding the Fourth Proportional to 312,808.56, 469,113.75 and 113,102.52

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Solution

The fourth proportional to 312,808.56, 469,113.75 and 113,102.52 is: 169,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,808.56 : 469,113.75 = 113,102.52 : x
  2. Step 2: Convert to fraction form
    312,808.56/469,113.75 = 113,102.52/x
  3. Step 3: Cross multiply
    312,808.56x = 469,113.75 × 113,102.52
  4. Step 4: Simplify right side
    312,808.56x = 53,057,947,291.65
  5. Step 5: Solve for x
    x = 53,057,947,291.65/312,808.56
  6. Step 6: Final answer
    x = 169,617.95

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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.