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Finding the Fourth Proportional to 151,304.20, 227,029.20 and 106,835.20

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Solution

The fourth proportional to 151,304.20, 227,029.20 and 106,835.20 is: 160,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,304.20 : 227,029.20 = 106,835.20 : x
  2. Step 2: Convert to fraction form
    151,304.20/227,029.20 = 106,835.20/x
  3. Step 3: Cross multiply
    151,304.20x = 227,029.20 × 106,835.20
  4. Step 4: Simplify right side
    151,304.20x = 24,254,709,987.84
  5. Step 5: Solve for x
    x = 24,254,709,987.84/151,304.20
  6. Step 6: Final answer
    x = 160,304.27

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1.5x scale

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.