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Finding the Fourth Proportional to 118,314, 177,496.92 and 44,442

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Solution

The fourth proportional to 118,314, 177,496.92 and 44,442 is: 66,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,314 : 177,496.92 = 44,442 : x
  2. Step 2: Convert to fraction form
    118,314/177,496.92 = 44,442/x
  3. Step 3: Cross multiply
    118,314x = 177,496.92 × 44,442
  4. Step 4: Simplify right side
    118,314x = 7,888,318,118.64
  5. Step 5: Solve for x
    x = 7,888,318,118.64/118,314
  6. Step 6: Final answer
    x = 66,672.74

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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.