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Finding the Fourth Proportional to 227,893.70, 341,840.55 and 164,908.10

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Solution

The fourth proportional to 227,893.70, 341,840.55 and 164,908.10 is: 247,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,893.70 : 341,840.55 = 164,908.10 : x
  2. Step 2: Convert to fraction form
    227,893.70/341,840.55 = 164,908.10/x
  3. Step 3: Cross multiply
    227,893.70x = 341,840.55 × 164,908.10
  4. Step 4: Simplify right side
    227,893.70x = 56,372,275,603.46
  5. Step 5: Solve for x
    x = 56,372,275,603.46/227,893.70
  6. Step 6: Final answer
    x = 247,362.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.