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Finding the Fourth Proportional to 250,307, 345,420.80 and 135,583.48

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Solution

The fourth proportional to 250,307, 345,420.80 and 135,583.48 is: 187,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,307 : 345,420.80 = 135,583.48 : x
  2. Step 2: Convert to fraction form
    250,307/345,420.80 = 135,583.48/x
  3. Step 3: Cross multiply
    250,307x = 345,420.80 × 135,583.48
  4. Step 4: Simplify right side
    250,307x = 46,833,354,128.38
  5. Step 5: Solve for x
    x = 46,833,354,128.38/250,307
  6. Step 6: Final answer
    x = 187,103.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.