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Finding the Fourth Proportional to 230,785.07, 346,142.98 and 72,993.02

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Solution

The fourth proportional to 230,785.07, 346,142.98 and 72,993.02 is: 109,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,785.07 : 346,142.98 = 72,993.02 : x
  2. Step 2: Convert to fraction form
    230,785.07/346,142.98 = 72,993.02/x
  3. Step 3: Cross multiply
    230,785.07x = 346,142.98 × 72,993.02
  4. Step 4: Simplify right side
    230,785.07x = 25,266,022,845.75
  5. Step 5: Solve for x
    x = 25,266,022,845.75/230,785.07
  6. Step 6: Final answer
    x = 109,478.58

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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.