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Finding the Fourth Proportional to 282,796.95, 390,219.17 and 166,441.23

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Solution

The fourth proportional to 282,796.95, 390,219.17 and 166,441.23 is: 229,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,796.95 : 390,219.17 = 166,441.23 : x
  2. Step 2: Convert to fraction form
    282,796.95/390,219.17 = 166,441.23/x
  3. Step 3: Cross multiply
    282,796.95x = 390,219.17 × 166,441.23
  4. Step 4: Simplify right side
    282,796.95x = 64,948,558,624.38
  5. Step 5: Solve for x
    x = 64,948,558,624.38/282,796.95
  6. Step 6: Final answer
    x = 229,664.99

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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.