Home / 204,784.34-282,603.71-114,146.06

Finding the Fourth Proportional to 204,784.34, 282,603.71 and 114,146.06

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Solution

The fourth proportional to 204,784.34, 282,603.71 and 114,146.06 is: 157,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,784.34 : 282,603.71 = 114,146.06 : x
  2. Step 2: Convert to fraction form
    204,784.34/282,603.71 = 114,146.06/x
  3. Step 3: Cross multiply
    204,784.34x = 282,603.71 × 114,146.06
  4. Step 4: Simplify right side
    204,784.34x = 32,258,098,054.13
  5. Step 5: Solve for x
    x = 32,258,098,054.13/204,784.34
  6. Step 6: Final answer
    x = 157,522.29

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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.