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Finding the Fourth Proportional to 146,948, 202,805.34 and 82,435.04

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Solution

The fourth proportional to 146,948, 202,805.34 and 82,435.04 is: 113,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,948 : 202,805.34 = 82,435.04 : x
  2. Step 2: Convert to fraction form
    146,948/202,805.34 = 82,435.04/x
  3. Step 3: Cross multiply
    146,948x = 202,805.34 × 82,435.04
  4. Step 4: Simplify right side
    146,948x = 16,718,266,315.11
  5. Step 5: Solve for x
    x = 16,718,266,315.11/146,948
  6. Step 6: Final answer
    x = 113,769.95

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1.5x scale

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.