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Finding the Fourth Proportional to 166,105.40, 249,117.60 and 47,764.40

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Solution

The fourth proportional to 166,105.40, 249,117.60 and 47,764.40 is: 71,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,105.40 : 249,117.60 = 47,764.40 : x
  2. Step 2: Convert to fraction form
    166,105.40/249,117.60 = 47,764.40/x
  3. Step 3: Cross multiply
    166,105.40x = 249,117.60 × 47,764.40
  4. Step 4: Simplify right side
    166,105.40x = 11,898,952,693.44
  5. Step 5: Solve for x
    x = 11,898,952,693.44/166,105.40
  6. Step 6: Final answer
    x = 71,634.95

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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.