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Finding the Fourth Proportional to 277,718.87, 416,592.54 and 78,054.82

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Solution

The fourth proportional to 277,718.87, 416,592.54 and 78,054.82 is: 117,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,718.87 : 416,592.54 = 78,054.82 : x
  2. Step 2: Convert to fraction form
    277,718.87/416,592.54 = 78,054.82/x
  3. Step 3: Cross multiply
    277,718.87x = 416,592.54 × 78,054.82
  4. Step 4: Simplify right side
    277,718.87x = 32,517,054,681.56
  5. Step 5: Solve for x
    x = 32,517,054,681.56/277,718.87
  6. Step 6: Final answer
    x = 117,086.23

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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.