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Finding the Fourth Proportional to 230,250, 345,394.44 and 64,038

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Solution

The fourth proportional to 230,250, 345,394.44 and 64,038 is: 96,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,250 : 345,394.44 = 64,038 : x
  2. Step 2: Convert to fraction form
    230,250/345,394.44 = 64,038/x
  3. Step 3: Cross multiply
    230,250x = 345,394.44 × 64,038
  4. Step 4: Simplify right side
    230,250x = 22,118,369,148.72
  5. Step 5: Solve for x
    x = 22,118,369,148.72/230,250
  6. Step 6: Final answer
    x = 96,062.41

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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.