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Finding the Fourth Proportional to 514,156.33, 771,226.22 and 140,179.33

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Solution

The fourth proportional to 514,156.33, 771,226.22 and 140,179.33 is: 210,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,156.33 : 771,226.22 = 140,179.33 : x
  2. Step 2: Convert to fraction form
    514,156.33/771,226.22 = 140,179.33/x
  3. Step 3: Cross multiply
    514,156.33x = 771,226.22 × 140,179.33
  4. Step 4: Simplify right side
    514,156.33x = 108,109,974,097.14
  5. Step 5: Solve for x
    x = 108,109,974,097.14/514,156.33
  6. Step 6: Final answer
    x = 210,266.74

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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.