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Finding the Fourth Proportional to 450,135.52, 675,469.80 and 166,024.78

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Solution

The fourth proportional to 450,135.52, 675,469.80 and 166,024.78 is: 249,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,135.52 : 675,469.80 = 166,024.78 : x
  2. Step 2: Convert to fraction form
    450,135.52/675,469.80 = 166,024.78/x
  3. Step 3: Cross multiply
    450,135.52x = 675,469.80 × 166,024.78
  4. Step 4: Simplify right side
    450,135.52x = 112,144,724,941.64
  5. Step 5: Solve for x
    x = 112,144,724,941.64/450,135.52
  6. Step 6: Final answer
    x = 249,135.47

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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.