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Finding the Fourth Proportional to 206,742.70, 310,041.15 and 73,627.30

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Solution

The fourth proportional to 206,742.70, 310,041.15 and 73,627.30 is: 110,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,742.70 : 310,041.15 = 73,627.30 : x
  2. Step 2: Convert to fraction form
    206,742.70/310,041.15 = 73,627.30/x
  3. Step 3: Cross multiply
    206,742.70x = 310,041.15 × 73,627.30
  4. Step 4: Simplify right side
    206,742.70x = 22,827,492,763.40
  5. Step 5: Solve for x
    x = 22,827,492,763.40/206,742.70
  6. Step 6: Final answer
    x = 110,414.99

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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.