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Finding the Fourth Proportional to 158,374.67, 237,537.25 and 51,757.78

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Solution

The fourth proportional to 158,374.67, 237,537.25 and 51,757.78 is: 77,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,374.67 : 237,537.25 = 51,757.78 : x
  2. Step 2: Convert to fraction form
    158,374.67/237,537.25 = 51,757.78/x
  3. Step 3: Cross multiply
    158,374.67x = 237,537.25 × 51,757.78
  4. Step 4: Simplify right side
    158,374.67x = 12,294,400,597.91
  5. Step 5: Solve for x
    x = 12,294,400,597.91/158,374.67
  6. Step 6: Final answer
    x = 77,628.58

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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.