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Finding the Fourth Proportional to 276,932, 382,167.78 and 162,278.30

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Solution

The fourth proportional to 276,932, 382,167.78 and 162,278.30 is: 223,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,932 : 382,167.78 = 162,278.30 : x
  2. Step 2: Convert to fraction form
    276,932/382,167.78 = 162,278.30/x
  3. Step 3: Cross multiply
    276,932x = 382,167.78 × 162,278.30
  4. Step 4: Simplify right side
    276,932x = 62,017,537,653.17
  5. Step 5: Solve for x
    x = 62,017,537,653.17/276,932
  6. Step 6: Final answer
    x = 223,945.00

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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.