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Finding the Fourth Proportional to 132,970.14, 199,315.14 and 44,199.78

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Solution

The fourth proportional to 132,970.14, 199,315.14 and 44,199.78 is: 66,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,970.14 : 199,315.14 = 44,199.78 : x
  2. Step 2: Convert to fraction form
    132,970.14/199,315.14 = 44,199.78/x
  3. Step 3: Cross multiply
    132,970.14x = 199,315.14 × 44,199.78
  4. Step 4: Simplify right side
    132,970.14x = 8,809,685,338.67
  5. Step 5: Solve for x
    x = 8,809,685,338.67/132,970.14
  6. Step 6: Final answer
    x = 66,253.11

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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.