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Finding the Fourth Proportional to 294,113.90, 405,885.26 and 165,060.28

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Solution

The fourth proportional to 294,113.90, 405,885.26 and 165,060.28 is: 227,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,113.90 : 405,885.26 = 165,060.28 : x
  2. Step 2: Convert to fraction form
    294,113.90/405,885.26 = 165,060.28/x
  3. Step 3: Cross multiply
    294,113.90x = 405,885.26 × 165,060.28
  4. Step 4: Simplify right side
    294,113.90x = 66,995,535,583.48
  5. Step 5: Solve for x
    x = 66,995,535,583.48/294,113.90
  6. Step 6: Final answer
    x = 227,787.72

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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.