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Finding the Fourth Proportional to 166,482, 249,723.24 and 67,986

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Solution

The fourth proportional to 166,482, 249,723.24 and 67,986 is: 101,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,482 : 249,723.24 = 67,986 : x
  2. Step 2: Convert to fraction form
    166,482/249,723.24 = 67,986/x
  3. Step 3: Cross multiply
    166,482x = 249,723.24 × 67,986
  4. Step 4: Simplify right side
    166,482x = 16,977,684,194.64
  5. Step 5: Solve for x
    x = 16,977,684,194.64/166,482
  6. Step 6: Final answer
    x = 101,979.10

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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.