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Finding the Fourth Proportional to 161,344.36, 242,016.54 and 50,545

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Solution

The fourth proportional to 161,344.36, 242,016.54 and 50,545 is: 75,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,344.36 : 242,016.54 = 50,545 : x
  2. Step 2: Convert to fraction form
    161,344.36/242,016.54 = 50,545/x
  3. Step 3: Cross multiply
    161,344.36x = 242,016.54 × 50,545
  4. Step 4: Simplify right side
    161,344.36x = 12,232,726,014.30
  5. Step 5: Solve for x
    x = 12,232,726,014.30/161,344.36
  6. Step 6: Final answer
    x = 75,817.50

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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.