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Finding the Fourth Proportional to 342,896.17, 473,191.71 and 189,933.86

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Solution

The fourth proportional to 342,896.17, 473,191.71 and 189,933.86 is: 262,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,896.17 : 473,191.71 = 189,933.86 : x
  2. Step 2: Convert to fraction form
    342,896.17/473,191.71 = 189,933.86/x
  3. Step 3: Cross multiply
    342,896.17x = 473,191.71 × 189,933.86
  4. Step 4: Simplify right side
    342,896.17x = 89,875,125,634.34
  5. Step 5: Solve for x
    x = 89,875,125,634.34/342,896.17
  6. Step 6: Final answer
    x = 262,105.95

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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.