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Finding the Fourth Proportional to 166,085.80, 249,784.80 and 149,027.20

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Solution

The fourth proportional to 166,085.80, 249,784.80 and 149,027.20 is: 224,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,085.80 : 249,784.80 = 149,027.20 : x
  2. Step 2: Convert to fraction form
    166,085.80/249,784.80 = 149,027.20/x
  3. Step 3: Cross multiply
    166,085.80x = 249,784.80 × 149,027.20
  4. Step 4: Simplify right side
    166,085.80x = 37,224,729,346.56
  5. Step 5: Solve for x
    x = 37,224,729,346.56/166,085.80
  6. Step 6: Final answer
    x = 224,129.51

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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.