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Finding the Fourth Proportional to 207,345.20, 311,017.80 and 136,074.80

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Solution

The fourth proportional to 207,345.20, 311,017.80 and 136,074.80 is: 204,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,345.20 : 311,017.80 = 136,074.80 : x
  2. Step 2: Convert to fraction form
    207,345.20/311,017.80 = 136,074.80/x
  3. Step 3: Cross multiply
    207,345.20x = 311,017.80 × 136,074.80
  4. Step 4: Simplify right side
    207,345.20x = 42,321,684,931.44
  5. Step 5: Solve for x
    x = 42,321,684,931.44/207,345.20
  6. Step 6: Final answer
    x = 204,112.20

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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.