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Finding the Fourth Proportional to 157,224.62, 235,803.84 and 50,618.10

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Solution

The fourth proportional to 157,224.62, 235,803.84 and 50,618.10 is: 75,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224.62 : 235,803.84 = 50,618.10 : x
  2. Step 2: Convert to fraction form
    157,224.62/235,803.84 = 50,618.10/x
  3. Step 3: Cross multiply
    157,224.62x = 235,803.84 × 50,618.10
  4. Step 4: Simplify right side
    157,224.62x = 11,935,942,353.50
  5. Step 5: Solve for x
    x = 11,935,942,353.50/157,224.62
  6. Step 6: Final answer
    x = 75,916.50

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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.