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Finding the Fourth Proportional to 161,509.54, 242,286.48 and 54,864.88

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Solution

The fourth proportional to 161,509.54, 242,286.48 and 54,864.88 is: 82,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,509.54 : 242,286.48 = 54,864.88 : x
  2. Step 2: Convert to fraction form
    161,509.54/242,286.48 = 54,864.88/x
  3. Step 3: Cross multiply
    161,509.54x = 242,286.48 × 54,864.88
  4. Step 4: Simplify right side
    161,509.54x = 13,293,018,650.82
  5. Step 5: Solve for x
    x = 13,293,018,650.82/161,509.54
  6. Step 6: Final answer
    x = 82,304.85

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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.