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Finding the Fourth Proportional to 230,384.52, 317,902.32 and 128,385

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Solution

The fourth proportional to 230,384.52, 317,902.32 and 128,385 is: 177,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,384.52 : 317,902.32 = 128,385 : x
  2. Step 2: Convert to fraction form
    230,384.52/317,902.32 = 128,385/x
  3. Step 3: Cross multiply
    230,384.52x = 317,902.32 × 128,385
  4. Step 4: Simplify right side
    230,384.52x = 40,813,889,353.20
  5. Step 5: Solve for x
    x = 40,813,889,353.20/230,384.52
  6. Step 6: Final answer
    x = 177,155.52

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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.