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Finding the Fourth Proportional to 178,883.04, 268,448 and 73,702.24

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Solution

The fourth proportional to 178,883.04, 268,448 and 73,702.24 is: 110,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,883.04 : 268,448 = 73,702.24 : x
  2. Step 2: Convert to fraction form
    178,883.04/268,448 = 73,702.24/x
  3. Step 3: Cross multiply
    178,883.04x = 268,448 × 73,702.24
  4. Step 4: Simplify right side
    178,883.04x = 19,785,218,923.52
  5. Step 5: Solve for x
    x = 19,785,218,923.52/178,883.04
  6. Step 6: Final answer
    x = 110,604.22

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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.