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Finding the Fourth Proportional to 271,795.08, 375,016.68 and 164,362.84

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Solution

The fourth proportional to 271,795.08, 375,016.68 and 164,362.84 is: 226,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,795.08 : 375,016.68 = 164,362.84 : x
  2. Step 2: Convert to fraction form
    271,795.08/375,016.68 = 164,362.84/x
  3. Step 3: Cross multiply
    271,795.08x = 375,016.68 × 164,362.84
  4. Step 4: Simplify right side
    271,795.08x = 61,638,806,572.17
  5. Step 5: Solve for x
    x = 61,638,806,572.17/271,795.08
  6. Step 6: Final answer
    x = 226,784.11

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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.