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Finding the Fourth Proportional to 102,224.97, 141,060.69 and 75,381.98

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Solution

The fourth proportional to 102,224.97, 141,060.69 and 75,381.98 is: 104,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224.97 : 141,060.69 = 75,381.98 : x
  2. Step 2: Convert to fraction form
    102,224.97/141,060.69 = 75,381.98/x
  3. Step 3: Cross multiply
    102,224.97x = 141,060.69 × 75,381.98
  4. Step 4: Simplify right side
    102,224.97x = 10,633,433,407.06
  5. Step 5: Solve for x
    x = 10,633,433,407.06/102,224.97
  6. Step 6: Final answer
    x = 104,019.92

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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.