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Finding the Fourth Proportional to 229,081.44, 316,143.22 and 143,091.34

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Solution

The fourth proportional to 229,081.44, 316,143.22 and 143,091.34 is: 197,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,081.44 : 316,143.22 = 143,091.34 : x
  2. Step 2: Convert to fraction form
    229,081.44/316,143.22 = 143,091.34/x
  3. Step 3: Cross multiply
    229,081.44x = 316,143.22 × 143,091.34
  4. Step 4: Simplify right side
    229,081.44x = 45,237,356,981.71
  5. Step 5: Solve for x
    x = 45,237,356,981.71/229,081.44
  6. Step 6: Final answer
    x = 197,472.82

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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.