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Finding the Fourth Proportional to 194,434, 291,702.84 and 95,938

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Solution

The fourth proportional to 194,434, 291,702.84 and 95,938 is: 143,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,434 : 291,702.84 = 95,938 : x
  2. Step 2: Convert to fraction form
    194,434/291,702.84 = 95,938/x
  3. Step 3: Cross multiply
    194,434x = 291,702.84 × 95,938
  4. Step 4: Simplify right side
    194,434x = 27,985,387,063.92
  5. Step 5: Solve for x
    x = 27,985,387,063.92/194,434
  6. Step 6: Final answer
    x = 143,932.58

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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.