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Finding the Fourth Proportional to 109,983, 151,776.54 and 59,682

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Solution

The fourth proportional to 109,983, 151,776.54 and 59,682 is: 82,361.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,983 : 151,776.54 = 59,682 : x
  2. Step 2: Convert to fraction form
    109,983/151,776.54 = 59,682/x
  3. Step 3: Cross multiply
    109,983x = 151,776.54 × 59,682
  4. Step 4: Simplify right side
    109,983x = 9,058,327,460.28
  5. Step 5: Solve for x
    x = 9,058,327,460.28/109,983
  6. Step 6: Final answer
    x = 82,361.16

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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.