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Finding the Fourth Proportional to 378,049.59, 567,085.32 and 141,347.07

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Solution

The fourth proportional to 378,049.59, 567,085.32 and 141,347.07 is: 212,024.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,049.59 : 567,085.32 = 141,347.07 : x
  2. Step 2: Convert to fraction form
    378,049.59/567,085.32 = 141,347.07/x
  3. Step 3: Cross multiply
    378,049.59x = 567,085.32 × 141,347.07
  4. Step 4: Simplify right side
    378,049.59x = 80,155,848,422.01
  5. Step 5: Solve for x
    x = 80,155,848,422.01/378,049.59
  6. Step 6: Final answer
    x = 212,024.69

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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.