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Finding the Fourth Proportional to 166,105.80, 249,158.70 and 156,264.30

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Solution

The fourth proportional to 166,105.80, 249,158.70 and 156,264.30 is: 234,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,105.80 : 249,158.70 = 156,264.30 : x
  2. Step 2: Convert to fraction form
    166,105.80/249,158.70 = 156,264.30/x
  3. Step 3: Cross multiply
    166,105.80x = 249,158.70 × 156,264.30
  4. Step 4: Simplify right side
    166,105.80x = 38,934,609,844.41
  5. Step 5: Solve for x
    x = 38,934,609,844.41/166,105.80
  6. Step 6: Final answer
    x = 234,396.45

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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.