Home / 106,917.92-160,376.16-83,564

Finding the Fourth Proportional to 106,917.92, 160,376.16 and 83,564

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Solution

The fourth proportional to 106,917.92, 160,376.16 and 83,564 is: 125,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,917.92 : 160,376.16 = 83,564 : x
  2. Step 2: Convert to fraction form
    106,917.92/160,376.16 = 83,564/x
  3. Step 3: Cross multiply
    106,917.92x = 160,376.16 × 83,564
  4. Step 4: Simplify right side
    106,917.92x = 13,401,673,434.24
  5. Step 5: Solve for x
    x = 13,401,673,434.24/106,917.92
  6. Step 6: Final answer
    x = 125,345.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.