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Finding the Fourth Proportional to 272,809.94, 376,496.62 and 165,384.50

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Solution

The fourth proportional to 272,809.94, 376,496.62 and 165,384.50 is: 228,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,809.94 : 376,496.62 = 165,384.50 : x
  2. Step 2: Convert to fraction form
    272,809.94/376,496.62 = 165,384.50/x
  3. Step 3: Cross multiply
    272,809.94x = 376,496.62 × 165,384.50
  4. Step 4: Simplify right side
    272,809.94x = 62,266,705,250.39
  5. Step 5: Solve for x
    x = 62,266,705,250.39/272,809.94
  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.