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Finding the Fourth Proportional to 141,656.38, 195,427.23 and 84,284.23

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Solution

The fourth proportional to 141,656.38, 195,427.23 and 84,284.23 is: 116,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,656.38 : 195,427.23 = 84,284.23 : x
  2. Step 2: Convert to fraction form
    141,656.38/195,427.23 = 84,284.23/x
  3. Step 3: Cross multiply
    141,656.38x = 195,427.23 × 84,284.23
  4. Step 4: Simplify right side
    141,656.38x = 16,471,433,637.47
  5. Step 5: Solve for x
    x = 16,471,433,637.47/141,656.38
  6. Step 6: Final answer
    x = 116,277.39

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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.