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Finding the Fourth Proportional to 138,188.70, 190,684.94 and 77,758.04

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Solution

The fourth proportional to 138,188.70, 190,684.94 and 77,758.04 is: 107,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,188.70 : 190,684.94 = 77,758.04 : x
  2. Step 2: Convert to fraction form
    138,188.70/190,684.94 = 77,758.04/x
  3. Step 3: Cross multiply
    138,188.70x = 190,684.94 × 77,758.04
  4. Step 4: Simplify right side
    138,188.70x = 14,827,287,279.84
  5. Step 5: Solve for x
    x = 14,827,287,279.84/138,188.70
  6. Step 6: Final answer
    x = 107,297.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.