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Finding the Fourth Proportional to 272,810.31, 376,497.15 and 165,384.87

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Solution

The fourth proportional to 272,810.31, 376,497.15 and 165,384.87 is: 228,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,810.31 : 376,497.15 = 165,384.87 : x
  2. Step 2: Convert to fraction form
    272,810.31/376,497.15 = 165,384.87/x
  3. Step 3: Cross multiply
    272,810.31x = 376,497.15 × 165,384.87
  4. Step 4: Simplify right side
    272,810.31x = 62,266,932,208.12
  5. Step 5: Solve for x
    x = 62,266,932,208.12/272,810.31
  6. Step 6: Final answer
    x = 228,242.59

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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.