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Finding the Fourth Proportional to 206,798.64, 310,199.54 and 113,253.36

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Solution

The fourth proportional to 206,798.64, 310,199.54 and 113,253.36 is: 169,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,798.64 : 310,199.54 = 113,253.36 : x
  2. Step 2: Convert to fraction form
    206,798.64/310,199.54 = 113,253.36/x
  3. Step 3: Cross multiply
    206,798.64x = 310,199.54 × 113,253.36
  4. Step 4: Simplify right side
    206,798.64x = 35,131,140,175.45
  5. Step 5: Solve for x
    x = 35,131,140,175.45/206,798.64
  6. Step 6: Final answer
    x = 169,880.91

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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.