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Finding the Fourth Proportional to 277,503.30, 416,182.02 and 119,696.67

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Solution

The fourth proportional to 277,503.30, 416,182.02 and 119,696.67 is: 179,513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,503.30 : 416,182.02 = 119,696.67 : x
  2. Step 2: Convert to fraction form
    277,503.30/416,182.02 = 119,696.67/x
  3. Step 3: Cross multiply
    277,503.30x = 416,182.02 × 119,696.67
  4. Step 4: Simplify right side
    277,503.30x = 49,815,601,459.01
  5. Step 5: Solve for x
    x = 49,815,601,459.01/277,503.30
  6. Step 6: Final answer
    x = 179,513.55

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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.