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Finding the Fourth Proportional to 102,380.13, 141,274.67 and 61,556.13

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Solution

The fourth proportional to 102,380.13, 141,274.67 and 61,556.13 is: 84,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,380.13 : 141,274.67 = 61,556.13 : x
  2. Step 2: Convert to fraction form
    102,380.13/141,274.67 = 61,556.13/x
  3. Step 3: Cross multiply
    102,380.13x = 141,274.67 × 61,556.13
  4. Step 4: Simplify right side
    102,380.13x = 8,696,321,644.45
  5. Step 5: Solve for x
    x = 8,696,321,644.45/102,380.13
  6. Step 6: Final answer
    x = 84,941.50

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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.