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Finding the Fourth Proportional to 230,824.38, 346,201.80 and 73,032.30

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Solution

The fourth proportional to 230,824.38, 346,201.80 and 73,032.30 is: 109,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,824.38 : 346,201.80 = 73,032.30 : x
  2. Step 2: Convert to fraction form
    230,824.38/346,201.80 = 73,032.30/x
  3. Step 3: Cross multiply
    230,824.38x = 346,201.80 × 73,032.30
  4. Step 4: Simplify right side
    230,824.38x = 25,283,913,718.14
  5. Step 5: Solve for x
    x = 25,283,913,718.14/230,824.38
  6. Step 6: Final answer
    x = 109,537.45

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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.