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Finding the Fourth Proportional to 137,341.80, 205,692.84 and 133,558.17

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Solution

The fourth proportional to 137,341.80, 205,692.84 and 133,558.17 is: 200,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,341.80 : 205,692.84 = 133,558.17 : x
  2. Step 2: Convert to fraction form
    137,341.80/205,692.84 = 133,558.17/x
  3. Step 3: Cross multiply
    137,341.80x = 205,692.84 × 133,558.17
  4. Step 4: Simplify right side
    137,341.80x = 27,471,959,292.50
  5. Step 5: Solve for x
    x = 27,471,959,292.50/137,341.80
  6. Step 6: Final answer
    x = 200,026.21

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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.