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Finding the Fourth Proportional to 343,909.46, 515,886.98 and 91,186.43

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Solution

The fourth proportional to 343,909.46, 515,886.98 and 91,186.43 is: 136,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,909.46 : 515,886.98 = 91,186.43 : x
  2. Step 2: Convert to fraction form
    343,909.46/515,886.98 = 91,186.43/x
  3. Step 3: Cross multiply
    343,909.46x = 515,886.98 × 91,186.43
  4. Step 4: Simplify right side
    343,909.46x = 47,041,888,954.31
  5. Step 5: Solve for x
    x = 47,041,888,954.31/343,909.46
  6. Step 6: Final answer
    x = 136,785.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.