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Finding the Fourth Proportional to 312,803.56, 469,106.24 and 113,097.52

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Solution

The fourth proportional to 312,803.56, 469,106.24 and 113,097.52 is: 169,610.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,803.56 : 469,106.24 = 113,097.52 : x
  2. Step 2: Convert to fraction form
    312,803.56/469,106.24 = 113,097.52/x
  3. Step 3: Cross multiply
    312,803.56x = 469,106.24 × 113,097.52
  4. Step 4: Simplify right side
    312,803.56x = 53,054,752,360.52
  5. Step 5: Solve for x
    x = 53,054,752,360.52/312,803.56
  6. Step 6: Final answer
    x = 169,610.45

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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.