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Finding the Fourth Proportional to 161,824.33, 242,697.52 and 49,505.52

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Solution

The fourth proportional to 161,824.33, 242,697.52 and 49,505.52 is: 74,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,824.33 : 242,697.52 = 49,505.52 : x
  2. Step 2: Convert to fraction form
    161,824.33/242,697.52 = 49,505.52/x
  3. Step 3: Cross multiply
    161,824.33x = 242,697.52 × 49,505.52
  4. Step 4: Simplify right side
    161,824.33x = 12,014,866,930.31
  5. Step 5: Solve for x
    x = 12,014,866,930.31/161,824.33
  6. Step 6: Final answer
    x = 74,246.36

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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.