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Finding the Fourth Proportional to 161,583, 242,378.82 and 54,966.75

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Solution

The fourth proportional to 161,583, 242,378.82 and 54,966.75 is: 82,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,583 : 242,378.82 = 54,966.75 : x
  2. Step 2: Convert to fraction form
    161,583/242,378.82 = 54,966.75/x
  3. Step 3: Cross multiply
    161,583x = 242,378.82 × 54,966.75
  4. Step 4: Simplify right side
    161,583x = 13,322,776,004.24
  5. Step 5: Solve for x
    x = 13,322,776,004.24/161,583
  6. Step 6: Final answer
    x = 82,451.59

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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.