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Finding the Fourth Proportional to 227,873.64, 314,468.92 and 125,901.46

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Solution

The fourth proportional to 227,873.64, 314,468.92 and 125,901.46 is: 173,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,873.64 : 314,468.92 = 125,901.46 : x
  2. Step 2: Convert to fraction form
    227,873.64/314,468.92 = 125,901.46/x
  3. Step 3: Cross multiply
    227,873.64x = 314,468.92 × 125,901.46
  4. Step 4: Simplify right side
    227,873.64x = 39,592,096,703.09
  5. Step 5: Solve for x
    x = 39,592,096,703.09/227,873.64
  6. Step 6: Final answer
    x = 173,745.84

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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.