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Finding the Fourth Proportional to 102,474.50, 141,414.81 and 55,370.50

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Solution

The fourth proportional to 102,474.50, 141,414.81 and 55,370.50 is: 76,411.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,474.50 : 141,414.81 = 55,370.50 : x
  2. Step 2: Convert to fraction form
    102,474.50/141,414.81 = 55,370.50/x
  3. Step 3: Cross multiply
    102,474.50x = 141,414.81 × 55,370.50
  4. Step 4: Simplify right side
    102,474.50x = 7,830,208,737.11
  5. Step 5: Solve for x
    x = 7,830,208,737.11/102,474.50
  6. Step 6: Final answer
    x = 76,411.29

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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.