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Finding the Fourth Proportional to 227,406.14, 341,010.12 and 65,264.48

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Solution

The fourth proportional to 227,406.14, 341,010.12 and 65,264.48 is: 97,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,406.14 : 341,010.12 = 65,264.48 : x
  2. Step 2: Convert to fraction form
    227,406.14/341,010.12 = 65,264.48/x
  3. Step 3: Cross multiply
    227,406.14x = 341,010.12 × 65,264.48
  4. Step 4: Simplify right side
    227,406.14x = 22,255,848,156.54
  5. Step 5: Solve for x
    x = 22,255,848,156.54/227,406.14
  6. Step 6: Final answer
    x = 97,868.28

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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.