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Finding the Fourth Proportional to 94,902.25, 130,965.11 and 57,184.33

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Solution

The fourth proportional to 94,902.25, 130,965.11 and 57,184.33 is: 78,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,902.25 : 130,965.11 = 57,184.33 : x
  2. Step 2: Convert to fraction form
    94,902.25/130,965.11 = 57,184.33/x
  3. Step 3: Cross multiply
    94,902.25x = 130,965.11 × 57,184.33
  4. Step 4: Simplify right side
    94,902.25x = 7,489,152,068.73
  5. Step 5: Solve for x
    x = 7,489,152,068.73/94,902.25
  6. Step 6: Final answer
    x = 78,914.38

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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.