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Finding the Fourth Proportional to 227,514.13, 314,083.17 and 141,500.84

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Solution

The fourth proportional to 227,514.13, 314,083.17 and 141,500.84 is: 195,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,514.13 : 314,083.17 = 141,500.84 : x
  2. Step 2: Convert to fraction form
    227,514.13/314,083.17 = 141,500.84/x
  3. Step 3: Cross multiply
    227,514.13x = 314,083.17 × 141,500.84
  4. Step 4: Simplify right side
    227,514.13x = 44,443,030,584.55
  5. Step 5: Solve for x
    x = 44,443,030,584.55/227,514.13
  6. Step 6: Final answer
    x = 195,341.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.