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Finding the Fourth Proportional to 312,803.06, 469,105.50 and 113,097.02

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Solution

The fourth proportional to 312,803.06, 469,105.50 and 113,097.02 is: 169,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,803.06 : 469,105.50 = 113,097.02 : x
  2. Step 2: Convert to fraction form
    312,803.06/469,105.50 = 113,097.02/x
  3. Step 3: Cross multiply
    312,803.06x = 469,105.50 × 113,097.02
  4. Step 4: Simplify right side
    312,803.06x = 53,054,434,115.61
  5. Step 5: Solve for x
    x = 53,054,434,115.61/312,803.06
  6. Step 6: Final answer
    x = 169,609.70

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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.