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Finding the Fourth Proportional to 277,496.53, 416,171.90 and 119,689.90

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Solution

The fourth proportional to 277,496.53, 416,171.90 and 119,689.90 is: 179,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,496.53 : 416,171.90 = 119,689.90 : x
  2. Step 2: Convert to fraction form
    277,496.53/416,171.90 = 119,689.90/x
  3. Step 3: Cross multiply
    277,496.53x = 416,171.90 × 119,689.90
  4. Step 4: Simplify right side
    277,496.53x = 49,811,574,356.94
  5. Step 5: Solve for x
    x = 49,811,574,356.94/277,496.53
  6. Step 6: Final answer
    x = 179,503.41

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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.