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Finding the Fourth Proportional to 206,830.02, 310,168.40 and 73,674.90

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Solution

The fourth proportional to 206,830.02, 310,168.40 and 73,674.90 is: 110,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,830.02 : 310,168.40 = 73,674.90 : x
  2. Step 2: Convert to fraction form
    206,830.02/310,168.40 = 73,674.90/x
  3. Step 3: Cross multiply
    206,830.02x = 310,168.40 × 73,674.90
  4. Step 4: Simplify right side
    206,830.02x = 22,851,625,853.16
  5. Step 5: Solve for x
    x = 22,851,625,853.16/206,830.02
  6. Step 6: Final answer
    x = 110,485.05

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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.