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Finding the Fourth Proportional to 151,633, 227,449.50 and 53,137

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Solution

The fourth proportional to 151,633, 227,449.50 and 53,137 is: 79,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,633 : 227,449.50 = 53,137 : x
  2. Step 2: Convert to fraction form
    151,633/227,449.50 = 53,137/x
  3. Step 3: Cross multiply
    151,633x = 227,449.50 × 53,137
  4. Step 4: Simplify right side
    151,633x = 12,085,984,081.50
  5. Step 5: Solve for x
    x = 12,085,984,081.50/151,633
  6. Step 6: Final answer
    x = 79,705.50

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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.