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Finding the Fourth Proportional to 166,578, 249,867.24 and 68,082

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Solution

The fourth proportional to 166,578, 249,867.24 and 68,082 is: 102,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,578 : 249,867.24 = 68,082 : x
  2. Step 2: Convert to fraction form
    166,578/249,867.24 = 68,082/x
  3. Step 3: Cross multiply
    166,578x = 249,867.24 × 68,082
  4. Step 4: Simplify right side
    166,578x = 17,011,461,433.68
  5. Step 5: Solve for x
    x = 17,011,461,433.68/166,578
  6. Step 6: Final answer
    x = 102,123.10

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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.