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Finding the Fourth Proportional to 195,185, 269,355.62 and 105,761

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Solution

The fourth proportional to 195,185, 269,355.62 and 105,761 is: 145,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,185 : 269,355.62 = 105,761 : x
  2. Step 2: Convert to fraction form
    195,185/269,355.62 = 105,761/x
  3. Step 3: Cross multiply
    195,185x = 269,355.62 × 105,761
  4. Step 4: Simplify right side
    195,185x = 28,487,319,726.82
  5. Step 5: Solve for x
    x = 28,487,319,726.82/195,185
  6. Step 6: Final answer
    x = 145,950.35

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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.