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Finding the Fourth Proportional to 230,079.59, 317,506.81 and 133,296.64

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Solution

The fourth proportional to 230,079.59, 317,506.81 and 133,296.64 is: 183,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,079.59 : 317,506.81 = 133,296.64 : x
  2. Step 2: Convert to fraction form
    230,079.59/317,506.81 = 133,296.64/x
  3. Step 3: Cross multiply
    230,079.59x = 317,506.81 × 133,296.64
  4. Step 4: Simplify right side
    230,079.59x = 42,322,591,859.02
  5. Step 5: Solve for x
    x = 42,322,591,859.02/230,079.59
  6. Step 6: Final answer
    x = 183,947.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.