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Finding the Fourth Proportional to 230,062.71, 317,404.36 and 133,213.70

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Solution

The fourth proportional to 230,062.71, 317,404.36 and 133,213.70 is: 183,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,062.71 : 317,404.36 = 133,213.70 : x
  2. Step 2: Convert to fraction form
    230,062.71/317,404.36 = 133,213.70/x
  3. Step 3: Cross multiply
    230,062.71x = 317,404.36 × 133,213.70
  4. Step 4: Simplify right side
    230,062.71x = 42,282,609,191.73
  5. Step 5: Solve for x
    x = 42,282,609,191.73/230,062.71
  6. Step 6: Final answer
    x = 183,787.32

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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.