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Finding the Fourth Proportional to 195,732, 293,710.90 and 105,774.92

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Solution

The fourth proportional to 195,732, 293,710.90 and 105,774.92 is: 158,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,732 : 293,710.90 = 105,774.92 : x
  2. Step 2: Convert to fraction form
    195,732/293,710.90 = 105,774.92/x
  3. Step 3: Cross multiply
    195,732x = 293,710.90 × 105,774.92
  4. Step 4: Simplify right side
    195,732x = 31,067,246,950.63
  5. Step 5: Solve for x
    x = 31,067,246,950.63/195,732
  6. Step 6: Final answer
    x = 158,723.39

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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.