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Finding the Fourth Proportional to 206,881.80, 310,322.70 and 73,766.40

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Solution

The fourth proportional to 206,881.80, 310,322.70 and 73,766.40 is: 110,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,881.80 : 310,322.70 = 73,766.40 : x
  2. Step 2: Convert to fraction form
    206,881.80/310,322.70 = 73,766.40/x
  3. Step 3: Cross multiply
    206,881.80x = 310,322.70 × 73,766.40
  4. Step 4: Simplify right side
    206,881.80x = 22,891,388,417.28
  5. Step 5: Solve for x
    x = 22,891,388,417.28/206,881.80
  6. Step 6: Final answer
    x = 110,649.60

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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.