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Finding the Fourth Proportional to 541,182.13, 811,904.41 and 162,102.13

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Solution

The fourth proportional to 541,182.13, 811,904.41 and 162,102.13 is: 243,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,182.13 : 811,904.41 = 162,102.13 : x
  2. Step 2: Convert to fraction form
    541,182.13/811,904.41 = 162,102.13/x
  3. Step 3: Cross multiply
    541,182.13x = 811,904.41 × 162,102.13
  4. Step 4: Simplify right side
    541,182.13x = 131,611,432,390.26
  5. Step 5: Solve for x
    x = 131,611,432,390.26/541,182.13
  6. Step 6: Final answer
    x = 243,192.50

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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.