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Finding the Fourth Proportional to 195,156, 269,315.34 and 105,732

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Solution

The fourth proportional to 195,156, 269,315.34 and 105,732 is: 145,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,156 : 269,315.34 = 105,732 : x
  2. Step 2: Convert to fraction form
    195,156/269,315.34 = 105,732/x
  3. Step 3: Cross multiply
    195,156x = 269,315.34 × 105,732
  4. Step 4: Simplify right side
    195,156x = 28,475,249,528.88
  5. Step 5: Solve for x
    x = 28,475,249,528.88/195,156
  6. Step 6: Final answer
    x = 145,910.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.