Home / 204,921.48-282,792.88-114,283.20

Finding the Fourth Proportional to 204,921.48, 282,792.88 and 114,283.20

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Solution

The fourth proportional to 204,921.48, 282,792.88 and 114,283.20 is: 157,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,921.48 : 282,792.88 = 114,283.20 : x
  2. Step 2: Convert to fraction form
    204,921.48/282,792.88 = 114,283.20/x
  3. Step 3: Cross multiply
    204,921.48x = 282,792.88 × 114,283.20
  4. Step 4: Simplify right side
    204,921.48x = 32,318,475,263.62
  5. Step 5: Solve for x
    x = 32,318,475,263.62/204,921.48
  6. Step 6: Final answer
    x = 157,711.51

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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.