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Finding the Fourth Proportional to 161,410.50, 242,154.66 and 50,602.50

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Solution

The fourth proportional to 161,410.50, 242,154.66 and 50,602.50 is: 75,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,410.50 : 242,154.66 = 50,602.50 : x
  2. Step 2: Convert to fraction form
    161,410.50/242,154.66 = 50,602.50/x
  3. Step 3: Cross multiply
    161,410.50x = 242,154.66 × 50,602.50
  4. Step 4: Simplify right side
    161,410.50x = 12,253,631,182.65
  5. Step 5: Solve for x
    x = 12,253,631,182.65/161,410.50
  6. Step 6: Final answer
    x = 75,915.95

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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.