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Finding the Fourth Proportional to 207,225.76, 285,971.08 and 116,581.76

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Solution

The fourth proportional to 207,225.76, 285,971.08 and 116,581.76 is: 160,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,225.76 : 285,971.08 = 116,581.76 : x
  2. Step 2: Convert to fraction form
    207,225.76/285,971.08 = 116,581.76/x
  3. Step 3: Cross multiply
    207,225.76x = 285,971.08 × 116,581.76
  4. Step 4: Simplify right side
    207,225.76x = 33,339,011,815.50
  5. Step 5: Solve for x
    x = 33,339,011,815.50/207,225.76
  6. Step 6: Final answer
    x = 160,882.57

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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.