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Finding the Fourth Proportional to 227,492.94, 313,958.10 and 125,538.66

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Solution

The fourth proportional to 227,492.94, 313,958.10 and 125,538.66 is: 173,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,492.94 : 313,958.10 = 125,538.66 : x
  2. Step 2: Convert to fraction form
    227,492.94/313,958.10 = 125,538.66/x
  3. Step 3: Cross multiply
    227,492.94x = 313,958.10 × 125,538.66
  4. Step 4: Simplify right side
    227,492.94x = 39,413,879,170.15
  5. Step 5: Solve for x
    x = 39,413,879,170.15/227,492.94
  6. Step 6: Final answer
    x = 173,253.20

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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.