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Finding the Fourth Proportional to 342,909.61, 473,198.82 and 189,937.48

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Solution

The fourth proportional to 342,909.61, 473,198.82 and 189,937.48 is: 262,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,909.61 : 473,198.82 = 189,937.48 : x
  2. Step 2: Convert to fraction form
    342,909.61/473,198.82 = 189,937.48/x
  3. Step 3: Cross multiply
    342,909.61x = 473,198.82 × 189,937.48
  4. Step 4: Simplify right side
    342,909.61x = 89,878,191,409.77
  5. Step 5: Solve for x
    x = 89,878,191,409.77/342,909.61
  6. Step 6: Final answer
    x = 262,104.62

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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.