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Finding the Fourth Proportional to 378,150.66, 521,841.22 and 206,070.14

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Solution

The fourth proportional to 378,150.66, 521,841.22 and 206,070.14 is: 284,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,150.66 : 521,841.22 = 206,070.14 : x
  2. Step 2: Convert to fraction form
    378,150.66/521,841.22 = 206,070.14/x
  3. Step 3: Cross multiply
    378,150.66x = 521,841.22 × 206,070.14
  4. Step 4: Simplify right side
    378,150.66x = 107,535,894,052.60
  5. Step 5: Solve for x
    x = 107,535,894,052.60/378,150.66
  6. Step 6: Final answer
    x = 284,373.15

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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.