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Finding the Fourth Proportional to 374,181.02, 516,369.72 and 202,099.10

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Solution

The fourth proportional to 374,181.02, 516,369.72 and 202,099.10 is: 278,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,181.02 : 516,369.72 = 202,099.10 : x
  2. Step 2: Convert to fraction form
    374,181.02/516,369.72 = 202,099.10/x
  3. Step 3: Cross multiply
    374,181.02x = 516,369.72 × 202,099.10
  4. Step 4: Simplify right side
    374,181.02x = 104,357,855,679.25
  5. Step 5: Solve for x
    x = 104,357,855,679.25/374,181.02
  6. Step 6: Final answer
    x = 278,896.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.