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Finding the Fourth Proportional to 215,012.67, 322,531.31 and 65,257.85

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Solution

The fourth proportional to 215,012.67, 322,531.31 and 65,257.85 is: 97,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,012.67 : 322,531.31 = 65,257.85 : x
  2. Step 2: Convert to fraction form
    215,012.67/322,531.31 = 65,257.85/x
  3. Step 3: Cross multiply
    215,012.67x = 322,531.31 × 65,257.85
  4. Step 4: Simplify right side
    215,012.67x = 21,047,698,235.63
  5. Step 5: Solve for x
    x = 21,047,698,235.63/215,012.67
  6. Step 6: Final answer
    x = 97,890.50

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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.