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Finding the Fourth Proportional to 166,642.76, 249,964.14 and 41,993.48

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Solution

The fourth proportional to 166,642.76, 249,964.14 and 41,993.48 is: 62,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,642.76 : 249,964.14 = 41,993.48 : x
  2. Step 2: Convert to fraction form
    166,642.76/249,964.14 = 41,993.48/x
  3. Step 3: Cross multiply
    166,642.76x = 249,964.14 × 41,993.48
  4. Step 4: Simplify right side
    166,642.76x = 10,496,864,113.81
  5. Step 5: Solve for x
    x = 10,496,864,113.81/166,642.76
  6. Step 6: Final answer
    x = 62,990.22

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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.