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Finding the Fourth Proportional to 96,715.38, 133,433.01 and 63,200.82

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Solution

The fourth proportional to 96,715.38, 133,433.01 and 63,200.82 is: 87,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,715.38 : 133,433.01 = 63,200.82 : x
  2. Step 2: Convert to fraction form
    96,715.38/133,433.01 = 63,200.82/x
  3. Step 3: Cross multiply
    96,715.38x = 133,433.01 × 63,200.82
  4. Step 4: Simplify right side
    96,715.38x = 8,433,075,647.07
  5. Step 5: Solve for x
    x = 8,433,075,647.07/96,715.38
  6. Step 6: Final answer
    x = 87,194.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.