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Finding the Fourth Proportional to 161,914.80, 242,872.20 and 152,065.20

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Solution

The fourth proportional to 161,914.80, 242,872.20 and 152,065.20 is: 228,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,914.80 : 242,872.20 = 152,065.20 : x
  2. Step 2: Convert to fraction form
    161,914.80/242,872.20 = 152,065.20/x
  3. Step 3: Cross multiply
    161,914.80x = 242,872.20 × 152,065.20
  4. Step 4: Simplify right side
    161,914.80x = 36,932,409,667.44
  5. Step 5: Solve for x
    x = 36,932,409,667.44/161,914.80
  6. Step 6: Final answer
    x = 228,097.80

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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.