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Finding the Fourth Proportional to 201,746.92, 278,411.59 and 115,709.23

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Solution

The fourth proportional to 201,746.92, 278,411.59 and 115,709.23 is: 159,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,746.92 : 278,411.59 = 115,709.23 : x
  2. Step 2: Convert to fraction form
    201,746.92/278,411.59 = 115,709.23/x
  3. Step 3: Cross multiply
    201,746.92x = 278,411.59 × 115,709.23
  4. Step 4: Simplify right side
    201,746.92x = 32,214,789,716.67
  5. Step 5: Solve for x
    x = 32,214,789,716.67/201,746.92
  6. Step 6: Final answer
    x = 159,679.21

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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.