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Finding the Fourth Proportional to 230,078.57, 317,505.87 and 128,101.82

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Solution

The fourth proportional to 230,078.57, 317,505.87 and 128,101.82 is: 176,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,078.57 : 317,505.87 = 128,101.82 : x
  2. Step 2: Convert to fraction form
    230,078.57/317,505.87 = 128,101.82/x
  3. Step 3: Cross multiply
    230,078.57x = 317,505.87 × 128,101.82
  4. Step 4: Simplify right side
    230,078.57x = 40,673,078,220.15
  5. Step 5: Solve for x
    x = 40,673,078,220.15/230,078.57
  6. Step 6: Final answer
    x = 176,779.09

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