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Finding the Fourth Proportional to 252,070.64, 347,882 and 188,297.72

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Solution

The fourth proportional to 252,070.64, 347,882 and 188,297.72 is: 259,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,070.64 : 347,882 = 188,297.72 : x
  2. Step 2: Convert to fraction form
    252,070.64/347,882 = 188,297.72/x
  3. Step 3: Cross multiply
    252,070.64x = 347,882 × 188,297.72
  4. Step 4: Simplify right side
    252,070.64x = 65,505,387,429.04
  5. Step 5: Solve for x
    x = 65,505,387,429.04/252,070.64
  6. Step 6: Final answer
    x = 259,869.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.