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Finding the Fourth Proportional to 166,648.32, 249,945.60 and 61,516.80

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Solution

The fourth proportional to 166,648.32, 249,945.60 and 61,516.80 is: 92,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,648.32 : 249,945.60 = 61,516.80 : x
  2. Step 2: Convert to fraction form
    166,648.32/249,945.60 = 61,516.80/x
  3. Step 3: Cross multiply
    166,648.32x = 249,945.60 × 61,516.80
  4. Step 4: Simplify right side
    166,648.32x = 15,375,853,486.08
  5. Step 5: Solve for x
    x = 15,375,853,486.08/166,648.32
  6. Step 6: Final answer
    x = 92,265.28

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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.