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Finding the Fourth Proportional to 166,427.60, 249,673.80 and 71,657.60

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Solution

The fourth proportional to 166,427.60, 249,673.80 and 71,657.60 is: 107,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,427.60 : 249,673.80 = 71,657.60 : x
  2. Step 2: Convert to fraction form
    166,427.60/249,673.80 = 71,657.60/x
  3. Step 3: Cross multiply
    166,427.60x = 249,673.80 × 71,657.60
  4. Step 4: Simplify right side
    166,427.60x = 17,891,025,290.88
  5. Step 5: Solve for x
    x = 17,891,025,290.88/166,427.60
  6. Step 6: Final answer
    x = 107,500.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.