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Finding the Fourth Proportional to 361,840.77, 542,585.66 and 109,074.13

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Solution

The fourth proportional to 361,840.77, 542,585.66 and 109,074.13 is: 163,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,840.77 : 542,585.66 = 109,074.13 : x
  2. Step 2: Convert to fraction form
    361,840.77/542,585.66 = 109,074.13/x
  3. Step 3: Cross multiply
    361,840.77x = 542,585.66 × 109,074.13
  4. Step 4: Simplify right side
    361,840.77x = 59,182,056,913.14
  5. Step 5: Solve for x
    x = 59,182,056,913.14/361,840.77
  6. Step 6: Final answer
    x = 163,558.29

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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.