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Finding the Fourth Proportional to 342,181.90, 472,214.08 and 189,230.38

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Solution

The fourth proportional to 342,181.90, 472,214.08 and 189,230.38 is: 261,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,181.90 : 472,214.08 = 189,230.38 : x
  2. Step 2: Convert to fraction form
    342,181.90/472,214.08 = 189,230.38/x
  3. Step 3: Cross multiply
    342,181.90x = 472,214.08 × 189,230.38
  4. Step 4: Simplify right side
    342,181.90x = 89,357,246,492.53
  5. Step 5: Solve for x
    x = 89,357,246,492.53/342,181.90
  6. Step 6: Final answer
    x = 261,139.61

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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.