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Finding the Fourth Proportional to 276,116.93, 414,175.94 and 76,437.89

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Solution

The fourth proportional to 276,116.93, 414,175.94 and 76,437.89 is: 114,656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,116.93 : 414,175.94 = 76,437.89 : x
  2. Step 2: Convert to fraction form
    276,116.93/414,175.94 = 76,437.89/x
  3. Step 3: Cross multiply
    276,116.93x = 414,175.94 × 76,437.89
  4. Step 4: Simplify right side
    276,116.93x = 31,658,734,560.18
  5. Step 5: Solve for x
    x = 31,658,734,560.18/276,116.93
  6. Step 6: Final answer
    x = 114,656.98

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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.