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Finding the Fourth Proportional to 234,776.58, 352,208.70 and 77,050.14

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Solution

The fourth proportional to 234,776.58, 352,208.70 and 77,050.14 is: 115,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,776.58 : 352,208.70 = 77,050.14 : x
  2. Step 2: Convert to fraction form
    234,776.58/352,208.70 = 77,050.14/x
  3. Step 3: Cross multiply
    234,776.58x = 352,208.70 × 77,050.14
  4. Step 4: Simplify right side
    234,776.58x = 27,137,729,644.22
  5. Step 5: Solve for x
    x = 27,137,729,644.22/234,776.58
  6. Step 6: Final answer
    x = 115,589.59

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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.