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Finding the Fourth Proportional to 378,086.59, 567,140.82 and 141,384.07

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Solution

The fourth proportional to 378,086.59, 567,140.82 and 141,384.07 is: 212,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,086.59 : 567,140.82 = 141,384.07 : x
  2. Step 2: Convert to fraction form
    378,086.59/567,140.82 = 141,384.07/x
  3. Step 3: Cross multiply
    378,086.59x = 567,140.82 × 141,384.07
  4. Step 4: Simplify right side
    378,086.59x = 80,184,677,394.74
  5. Step 5: Solve for x
    x = 80,184,677,394.74/378,086.59
  6. Step 6: Final answer
    x = 212,080.19

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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.