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Finding the Fourth Proportional to 272,809.93, 376,496.63 and 165,384.49

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Solution

The fourth proportional to 272,809.93, 376,496.63 and 165,384.49 is: 228,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,809.93 : 376,496.63 = 165,384.49 : x
  2. Step 2: Convert to fraction form
    272,809.93/376,496.63 = 165,384.49/x
  3. Step 3: Cross multiply
    272,809.93x = 376,496.63 × 165,384.49
  4. Step 4: Simplify right side
    272,809.93x = 62,266,703,139.27
  5. Step 5: Solve for x
    x = 62,266,703,139.27/272,809.93
  6. Step 6: Final answer
    x = 228,242.07

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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.