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Finding the Fourth Proportional to 230,829.30, 346,209.30 and 73,037.25

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Solution

The fourth proportional to 230,829.30, 346,209.30 and 73,037.25 is: 109,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,829.30 : 346,209.30 = 73,037.25 : x
  2. Step 2: Convert to fraction form
    230,829.30/346,209.30 = 73,037.25/x
  3. Step 3: Cross multiply
    230,829.30x = 346,209.30 × 73,037.25
  4. Step 4: Simplify right side
    230,829.30x = 25,286,175,196.43
  5. Step 5: Solve for x
    x = 25,286,175,196.43/230,829.30
  6. Step 6: Final answer
    x = 109,544.91

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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.