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Finding the Fourth Proportional to 207,611.65, 311,417.48 and 49,840.10

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Solution

The fourth proportional to 207,611.65, 311,417.48 and 49,840.10 is: 74,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,611.65 : 311,417.48 = 49,840.10 : x
  2. Step 2: Convert to fraction form
    207,611.65/311,417.48 = 49,840.10/x
  3. Step 3: Cross multiply
    207,611.65x = 311,417.48 × 49,840.10
  4. Step 4: Simplify right side
    207,611.65x = 15,521,078,344.95
  5. Step 5: Solve for x
    x = 15,521,078,344.95/207,611.65
  6. Step 6: Final answer
    x = 74,760.15

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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.