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Finding the Fourth Proportional to 276,587.56, 414,881.34 and 158,175.82

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Solution

The fourth proportional to 276,587.56, 414,881.34 and 158,175.82 is: 237,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,587.56 : 414,881.34 = 158,175.82 : x
  2. Step 2: Convert to fraction form
    276,587.56/414,881.34 = 158,175.82/x
  3. Step 3: Cross multiply
    276,587.56x = 414,881.34 × 158,175.82
  4. Step 4: Simplify right side
    276,587.56x = 65,624,196,157.20
  5. Step 5: Solve for x
    x = 65,624,196,157.20/276,587.56
  6. Step 6: Final answer
    x = 237,263.73

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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.