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Finding the Fourth Proportional to 276,322.60, 414,702.60 and 107,923.60

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Solution

The fourth proportional to 276,322.60, 414,702.60 and 107,923.60 is: 161,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,322.60 : 414,702.60 = 107,923.60 : x
  2. Step 2: Convert to fraction form
    276,322.60/414,702.60 = 107,923.60/x
  3. Step 3: Cross multiply
    276,322.60x = 414,702.60 × 107,923.60
  4. Step 4: Simplify right side
    276,322.60x = 44,756,197,521.36
  5. Step 5: Solve for x
    x = 44,756,197,521.36/276,322.60
  6. Step 6: Final answer
    x = 161,970.82

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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.