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Finding the Fourth Proportional to 253,254.29, 379,192.05 and 178,262.06

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Solution

The fourth proportional to 253,254.29, 379,192.05 and 178,262.06 is: 266,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,254.29 : 379,192.05 = 178,262.06 : x
  2. Step 2: Convert to fraction form
    253,254.29/379,192.05 = 178,262.06/x
  3. Step 3: Cross multiply
    253,254.29x = 379,192.05 × 178,262.06
  4. Step 4: Simplify right side
    253,254.29x = 67,595,554,072.66
  5. Step 5: Solve for x
    x = 67,595,554,072.66/253,254.29
  6. Step 6: Final answer
    x = 266,907.84

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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.