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Finding the Fourth Proportional to 106,337.80, 159,506.94 and 99,842.44

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Solution

The fourth proportional to 106,337.80, 159,506.94 and 99,842.44 is: 149,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,337.80 : 159,506.94 = 99,842.44 : x
  2. Step 2: Convert to fraction form
    106,337.80/159,506.94 = 99,842.44/x
  3. Step 3: Cross multiply
    106,337.80x = 159,506.94 × 99,842.44
  4. Step 4: Simplify right side
    106,337.80x = 15,925,562,086.53
  5. Step 5: Solve for x
    x = 15,925,562,086.53/106,337.80
  6. Step 6: Final answer
    x = 149,763.89

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1.5x scale

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.