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Finding the Fourth Proportional to 207,709.96, 286,631.46 and 117,084.74

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Solution

The fourth proportional to 207,709.96, 286,631.46 and 117,084.74 is: 161,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,709.96 : 286,631.46 = 117,084.74 : x
  2. Step 2: Convert to fraction form
    207,709.96/286,631.46 = 117,084.74/x
  3. Step 3: Cross multiply
    207,709.96x = 286,631.46 × 117,084.74
  4. Step 4: Simplify right side
    207,709.96x = 33,560,169,969.92
  5. Step 5: Solve for x
    x = 33,560,169,969.92/207,709.96
  6. Step 6: Final answer
    x = 161,572.27

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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.