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Finding the Fourth Proportional to 341,991.96, 513,043.08 and 105,334.56

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Solution

The fourth proportional to 341,991.96, 513,043.08 and 105,334.56 is: 158,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,991.96 : 513,043.08 = 105,334.56 : x
  2. Step 2: Convert to fraction form
    341,991.96/513,043.08 = 105,334.56/x
  3. Step 3: Cross multiply
    341,991.96x = 513,043.08 × 105,334.56
  4. Step 4: Simplify right side
    341,991.96x = 54,041,167,092.84
  5. Step 5: Solve for x
    x = 54,041,167,092.84/341,991.96
  6. Step 6: Final answer
    x = 158,018.82

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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.