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Finding the Fourth Proportional to 234,837.63, 352,311.12 and 77,056.52

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Solution

The fourth proportional to 234,837.63, 352,311.12 and 77,056.52 is: 115,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,837.63 : 352,311.12 = 77,056.52 : x
  2. Step 2: Convert to fraction form
    234,837.63/352,311.12 = 77,056.52/x
  3. Step 3: Cross multiply
    234,837.63x = 352,311.12 × 77,056.52
  4. Step 4: Simplify right side
    234,837.63x = 27,147,867,102.95
  5. Step 5: Solve for x
    x = 27,147,867,102.95/234,837.63
  6. Step 6: Final answer
    x = 115,602.71

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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.