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Finding the Fourth Proportional to 282,760, 390,219.04 and 161,922.88

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Solution

The fourth proportional to 282,760, 390,219.04 and 161,922.88 is: 223,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,760 : 390,219.04 = 161,922.88 : x
  2. Step 2: Convert to fraction form
    282,760/390,219.04 = 161,922.88/x
  3. Step 3: Cross multiply
    282,760x = 390,219.04 × 161,922.88
  4. Step 4: Simplify right side
    282,760x = 63,185,390,787.64
  5. Step 5: Solve for x
    x = 63,185,390,787.64/282,760
  6. Step 6: Final answer
    x = 223,459.44

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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.