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Finding the Fourth Proportional to 277,697.07, 416,569.91 and 78,019.11

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Solution

The fourth proportional to 277,697.07, 416,569.91 and 78,019.11 is: 117,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,697.07 : 416,569.91 = 78,019.11 : x
  2. Step 2: Convert to fraction form
    277,697.07/416,569.91 = 78,019.11/x
  3. Step 3: Cross multiply
    277,697.07x = 416,569.91 × 78,019.11
  4. Step 4: Simplify right side
    277,697.07x = 32,500,413,240.88
  5. Step 5: Solve for x
    x = 32,500,413,240.88/277,697.07
  6. Step 6: Final answer
    x = 117,035.49

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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.