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Finding the Fourth Proportional to 166,427.10, 249,673.05 and 71,657.10

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Solution

The fourth proportional to 166,427.10, 249,673.05 and 71,657.10 is: 107,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,427.10 : 249,673.05 = 71,657.10 : x
  2. Step 2: Convert to fraction form
    166,427.10/249,673.05 = 71,657.10/x
  3. Step 3: Cross multiply
    166,427.10x = 249,673.05 × 71,657.10
  4. Step 4: Simplify right side
    166,427.10x = 17,890,846,711.16
  5. Step 5: Solve for x
    x = 17,890,846,711.16/166,427.10
  6. Step 6: Final answer
    x = 107,499.60

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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.