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Finding the Fourth Proportional to 166,446.40, 249,629.10 and 48,105.40

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Solution

The fourth proportional to 166,446.40, 249,629.10 and 48,105.40 is: 72,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,446.40 : 249,629.10 = 48,105.40 : x
  2. Step 2: Convert to fraction form
    166,446.40/249,629.10 = 48,105.40/x
  3. Step 3: Cross multiply
    166,446.40x = 249,629.10 × 48,105.40
  4. Step 4: Simplify right side
    166,446.40x = 12,008,507,707.14
  5. Step 5: Solve for x
    x = 12,008,507,707.14/166,446.40
  6. Step 6: Final answer
    x = 72,146.39

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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.