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Finding the Fourth Proportional to 179,617, 269,436.30 and 54,959.08

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Solution

The fourth proportional to 179,617, 269,436.30 and 54,959.08 is: 82,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,617 : 269,436.30 = 54,959.08 : x
  2. Step 2: Convert to fraction form
    179,617/269,436.30 = 54,959.08/x
  3. Step 3: Cross multiply
    179,617x = 269,436.30 × 54,959.08
  4. Step 4: Simplify right side
    179,617x = 14,807,971,166.60
  5. Step 5: Solve for x
    x = 14,807,971,166.60/179,617
  6. Step 6: Final answer
    x = 82,441.92

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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.