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Finding the Fourth Proportional to 221,006.52, 304,989.03 and 120,404.52

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Solution

The fourth proportional to 221,006.52, 304,989.03 and 120,404.52 is: 166,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,006.52 : 304,989.03 = 120,404.52 : x
  2. Step 2: Convert to fraction form
    221,006.52/304,989.03 = 120,404.52/x
  3. Step 3: Cross multiply
    221,006.52x = 304,989.03 × 120,404.52
  4. Step 4: Simplify right side
    221,006.52x = 36,722,057,762.42
  5. Step 5: Solve for x
    x = 36,722,057,762.42/221,006.52
  6. Step 6: Final answer
    x = 166,158.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.