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Finding the Fourth Proportional to 260,033.22, 358,871.31 and 158,049.77

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Solution

The fourth proportional to 260,033.22, 358,871.31 and 158,049.77 is: 218,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,033.22 : 358,871.31 = 158,049.77 : x
  2. Step 2: Convert to fraction form
    260,033.22/358,871.31 = 158,049.77/x
  3. Step 3: Cross multiply
    260,033.22x = 358,871.31 × 158,049.77
  4. Step 4: Simplify right side
    260,033.22x = 56,719,526,210.74
  5. Step 5: Solve for x
    x = 56,719,526,210.74/260,033.22
  6. Step 6: Final answer
    x = 218,124.15

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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.