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Finding the Fourth Proportional to 342,177.82, 472,186.17 and 189,207.10

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Solution

The fourth proportional to 342,177.82, 472,186.17 and 189,207.10 is: 261,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,177.82 : 472,186.17 = 189,207.10 : x
  2. Step 2: Convert to fraction form
    342,177.82/472,186.17 = 189,207.10/x
  3. Step 3: Cross multiply
    342,177.82x = 472,186.17 × 189,207.10
  4. Step 4: Simplify right side
    342,177.82x = 89,340,975,885.81
  5. Step 5: Solve for x
    x = 89,340,975,885.81/342,177.82
  6. Step 6: Final answer
    x = 261,095.17

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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.