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Finding the Fourth Proportional to 312,804.06, 469,107 and 113,098.02

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Solution

The fourth proportional to 312,804.06, 469,107 and 113,098.02 is: 169,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,804.06 : 469,107 = 113,098.02 : x
  2. Step 2: Convert to fraction form
    312,804.06/469,107 = 113,098.02/x
  3. Step 3: Cross multiply
    312,804.06x = 469,107 × 113,098.02
  4. Step 4: Simplify right side
    312,804.06x = 53,055,072,868.14
  5. Step 5: Solve for x
    x = 53,055,072,868.14/312,804.06
  6. Step 6: Final answer
    x = 169,611.20

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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.