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Finding the Fourth Proportional to 277,615.70, 416,423.55 and 119,734.10

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Solution

The fourth proportional to 277,615.70, 416,423.55 and 119,734.10 is: 179,601.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,615.70 : 416,423.55 = 119,734.10 : x
  2. Step 2: Convert to fraction form
    277,615.70/416,423.55 = 119,734.10/x
  3. Step 3: Cross multiply
    277,615.70x = 416,423.55 × 119,734.10
  4. Step 4: Simplify right side
    277,615.70x = 49,860,098,978.06
  5. Step 5: Solve for x
    x = 49,860,098,978.06/277,615.70
  6. Step 6: Final answer
    x = 179,601.15

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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.