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Finding the Fourth Proportional to 276,950.84, 415,496.33 and 77,271.14

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Solution

The fourth proportional to 276,950.84, 415,496.33 and 77,271.14 is: 115,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,950.84 : 415,496.33 = 77,271.14 : x
  2. Step 2: Convert to fraction form
    276,950.84/415,496.33 = 77,271.14/x
  3. Step 3: Cross multiply
    276,950.84x = 415,496.33 × 77,271.14
  4. Step 4: Simplify right side
    276,950.84x = 32,105,872,621.08
  5. Step 5: Solve for x
    x = 32,105,872,621.08/276,950.84
  6. Step 6: Final answer
    x = 115,926.25

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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.