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Finding the Fourth Proportional to 151,662, 209,305.36 and 83,692.40

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Solution

The fourth proportional to 151,662, 209,305.36 and 83,692.40 is: 115,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,662 : 209,305.36 = 83,692.40 : x
  2. Step 2: Convert to fraction form
    151,662/209,305.36 = 83,692.40/x
  3. Step 3: Cross multiply
    151,662x = 209,305.36 × 83,692.40
  4. Step 4: Simplify right side
    151,662x = 17,517,267,911.26
  5. Step 5: Solve for x
    x = 17,517,267,911.26/151,662
  6. Step 6: Final answer
    x = 115,502.02

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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.