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Finding the Fourth Proportional to 272,809.68, 376,496.29 and 165,384.24

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Solution

The fourth proportional to 272,809.68, 376,496.29 and 165,384.24 is: 228,241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,809.68 : 376,496.29 = 165,384.24 : x
  2. Step 2: Convert to fraction form
    272,809.68/376,496.29 = 165,384.24/x
  3. Step 3: Cross multiply
    272,809.68x = 376,496.29 × 165,384.24
  4. Step 4: Simplify right side
    272,809.68x = 62,266,552,784.47
  5. Step 5: Solve for x
    x = 62,266,552,784.47/272,809.68
  6. Step 6: Final answer
    x = 228,241.73

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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.