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Finding the Fourth Proportional to 207,276.50, 310,914.84 and 74,148.80

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Solution

The fourth proportional to 207,276.50, 310,914.84 and 74,148.80 is: 111,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,276.50 : 310,914.84 = 74,148.80 : x
  2. Step 2: Convert to fraction form
    207,276.50/310,914.84 = 74,148.80/x
  3. Step 3: Cross multiply
    207,276.50x = 310,914.84 × 74,148.80
  4. Step 4: Simplify right side
    207,276.50x = 23,053,962,288.19
  5. Step 5: Solve for x
    x = 23,053,962,288.19/207,276.50
  6. Step 6: Final answer
    x = 111,223.23

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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.