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Finding the Fourth Proportional to 342,906.63, 473,214.95 and 189,947.16

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Solution

The fourth proportional to 342,906.63, 473,214.95 and 189,947.16 is: 262,129.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,906.63 : 473,214.95 = 189,947.16 : x
  2. Step 2: Convert to fraction form
    342,906.63/473,214.95 = 189,947.16/x
  3. Step 3: Cross multiply
    342,906.63x = 473,214.95 × 189,947.16
  4. Step 4: Simplify right side
    342,906.63x = 89,885,835,584.61
  5. Step 5: Solve for x
    x = 89,885,835,584.61/342,906.63
  6. Step 6: Final answer
    x = 262,129.19

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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.