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Finding the Fourth Proportional to 276,075.29, 414,122.15 and 76,378.96

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Solution

The fourth proportional to 276,075.29, 414,122.15 and 76,378.96 is: 114,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,075.29 : 414,122.15 = 76,378.96 : x
  2. Step 2: Convert to fraction form
    276,075.29/414,122.15 = 76,378.96/x
  3. Step 3: Cross multiply
    276,075.29x = 414,122.15 × 76,378.96
  4. Step 4: Simplify right side
    276,075.29x = 31,630,217,712.76
  5. Step 5: Solve for x
    x = 31,630,217,712.76/276,075.29
  6. Step 6: Final answer
    x = 114,570.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.