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Finding the Fourth Proportional to 264,885.78, 365,534.62 and 150,175.00

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Solution

The fourth proportional to 264,885.78, 365,534.62 and 150,175.00 is: 207,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,885.78 : 365,534.62 = 150,175.00 : x
  2. Step 2: Convert to fraction form
    264,885.78/365,534.62 = 150,175.00/x
  3. Step 3: Cross multiply
    264,885.78x = 365,534.62 × 150,175.00
  4. Step 4: Simplify right side
    264,885.78x = 54,894,160,269.23
  5. Step 5: Solve for x
    x = 54,894,160,269.23/264,885.78
  6. Step 6: Final answer
    x = 207,237.10

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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.