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Finding the Fourth Proportional to 146,356.39, 201,966.64 and 82,692.82

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Solution

The fourth proportional to 146,356.39, 201,966.64 and 82,692.82 is: 114,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,356.39 : 201,966.64 = 82,692.82 : x
  2. Step 2: Convert to fraction form
    146,356.39/201,966.64 = 82,692.82/x
  3. Step 3: Cross multiply
    146,356.39x = 201,966.64 × 82,692.82
  4. Step 4: Simplify right side
    146,356.39x = 16,701,191,007.52
  5. Step 5: Solve for x
    x = 16,701,191,007.52/146,356.39
  6. Step 6: Final answer
    x = 114,113.17

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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.