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Finding the Fourth Proportional to 166,472.82, 249,499.04 and 106,478.55

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Solution

The fourth proportional to 166,472.82, 249,499.04 and 106,478.55 is: 159,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,472.82 : 249,499.04 = 106,478.55 : x
  2. Step 2: Convert to fraction form
    166,472.82/249,499.04 = 106,478.55/x
  3. Step 3: Cross multiply
    166,472.82x = 249,499.04 × 106,478.55
  4. Step 4: Simplify right side
    166,472.82x = 26,566,295,473.20
  5. Step 5: Solve for x
    x = 26,566,295,473.20/166,472.82
  6. Step 6: Final answer
    x = 159,583.38

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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.