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Finding the Fourth Proportional to 276,899.47, 415,343.23 and 77,214.54

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Solution

The fourth proportional to 276,899.47, 415,343.23 and 77,214.54 is: 115,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,899.47 : 415,343.23 = 77,214.54 : x
  2. Step 2: Convert to fraction form
    276,899.47/415,343.23 = 77,214.54/x
  3. Step 3: Cross multiply
    276,899.47x = 415,343.23 × 77,214.54
  4. Step 4: Simplify right side
    276,899.47x = 32,070,536,446.56
  5. Step 5: Solve for x
    x = 32,070,536,446.56/276,899.47
  6. Step 6: Final answer
    x = 115,820.14

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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.