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Finding the Fourth Proportional to 106,916.36, 160,268.70 and 50,657

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Solution

The fourth proportional to 106,916.36, 160,268.70 and 50,657 is: 75,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,916.36 : 160,268.70 = 50,657 : x
  2. Step 2: Convert to fraction form
    106,916.36/160,268.70 = 50,657/x
  3. Step 3: Cross multiply
    106,916.36x = 160,268.70 × 50,657
  4. Step 4: Simplify right side
    106,916.36x = 8,118,731,535.90
  5. Step 5: Solve for x
    x = 8,118,731,535.90/106,916.36
  6. Step 6: Final answer
    x = 75,935.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.