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Finding the Fourth Proportional to 260,138.51, 359,049.05 and 158,142.38

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Solution

The fourth proportional to 260,138.51, 359,049.05 and 158,142.38 is: 218,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,138.51 : 359,049.05 = 158,142.38 : x
  2. Step 2: Convert to fraction form
    260,138.51/359,049.05 = 158,142.38/x
  3. Step 3: Cross multiply
    260,138.51x = 359,049.05 × 158,142.38
  4. Step 4: Simplify right side
    260,138.51x = 56,780,870,200.37
  5. Step 5: Solve for x
    x = 56,780,870,200.37/260,138.51
  6. Step 6: Final answer
    x = 218,271.68

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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.