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Finding the Fourth Proportional to 234,506.70, 351,835.38 and 76,699.26

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Solution

The fourth proportional to 234,506.70, 351,835.38 and 76,699.26 is: 115,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,506.70 : 351,835.38 = 76,699.26 : x
  2. Step 2: Convert to fraction form
    234,506.70/351,835.38 = 76,699.26/x
  3. Step 3: Cross multiply
    234,506.70x = 351,835.38 × 76,699.26
  4. Step 4: Simplify right side
    234,506.70x = 26,985,513,287.82
  5. Step 5: Solve for x
    x = 26,985,513,287.82/234,506.70
  6. Step 6: Final answer
    x = 115,073.53

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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.