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Finding the Fourth Proportional to 207,955.60, 311,933.43 and 50,184.06

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Solution

The fourth proportional to 207,955.60, 311,933.43 and 50,184.06 is: 75,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,955.60 : 311,933.43 = 50,184.06 : x
  2. Step 2: Convert to fraction form
    207,955.60/311,933.43 = 50,184.06/x
  3. Step 3: Cross multiply
    207,955.60x = 311,933.43 × 50,184.06
  4. Step 4: Simplify right side
    207,955.60x = 15,654,085,967.13
  5. Step 5: Solve for x
    x = 15,654,085,967.13/207,955.60
  6. Step 6: Final answer
    x = 75,276.10

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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.