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Finding the Fourth Proportional to 230,963.80, 346,494.30 and 73,208.20

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Solution

The fourth proportional to 230,963.80, 346,494.30 and 73,208.20 is: 109,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,963.80 : 346,494.30 = 73,208.20 : x
  2. Step 2: Convert to fraction form
    230,963.80/346,494.30 = 73,208.20/x
  3. Step 3: Cross multiply
    230,963.80x = 346,494.30 × 73,208.20
  4. Step 4: Simplify right side
    230,963.80x = 25,366,224,013.26
  5. Step 5: Solve for x
    x = 25,366,224,013.26/230,963.80
  6. Step 6: Final answer
    x = 109,827.70

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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.