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Finding the Fourth Proportional to 166,212.80, 249,319.20 and 53,892.80

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Solution

The fourth proportional to 166,212.80, 249,319.20 and 53,892.80 is: 80,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,212.80 : 249,319.20 = 53,892.80 : x
  2. Step 2: Convert to fraction form
    166,212.80/249,319.20 = 53,892.80/x
  3. Step 3: Cross multiply
    166,212.80x = 249,319.20 × 53,892.80
  4. Step 4: Simplify right side
    166,212.80x = 13,436,509,781.76
  5. Step 5: Solve for x
    x = 13,436,509,781.76/166,212.80
  6. Step 6: Final answer
    x = 80,839.20

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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.