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Finding the Fourth Proportional to 217,177.82, 299,603.84 and 144,617.22

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Solution

The fourth proportional to 217,177.82, 299,603.84 and 144,617.22 is: 199,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,177.82 : 299,603.84 = 144,617.22 : x
  2. Step 2: Convert to fraction form
    217,177.82/299,603.84 = 144,617.22/x
  3. Step 3: Cross multiply
    217,177.82x = 299,603.84 × 144,617.22
  4. Step 4: Simplify right side
    217,177.82x = 43,327,874,442.12
  5. Step 5: Solve for x
    x = 43,327,874,442.12/217,177.82
  6. Step 6: Final answer
    x = 199,504.14

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1.5x scale

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.