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Finding the Fourth Proportional to 106,195.98, 159,315.84 and 88,787.46

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Solution

The fourth proportional to 106,195.98, 159,315.84 and 88,787.46 is: 133,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,195.98 : 159,315.84 = 88,787.46 : x
  2. Step 2: Convert to fraction form
    106,195.98/159,315.84 = 88,787.46/x
  3. Step 3: Cross multiply
    106,195.98x = 159,315.84 × 88,787.46
  4. Step 4: Simplify right side
    106,195.98x = 14,145,248,771.37
  5. Step 5: Solve for x
    x = 14,145,248,771.37/106,195.98
  6. Step 6: Final answer
    x = 133,199.47

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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.