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Finding the Fourth Proportional to 106,096.59, 159,146.87 and 84,938.36

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Solution

The fourth proportional to 106,096.59, 159,146.87 and 84,938.36 is: 127,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,096.59 : 159,146.87 = 84,938.36 : x
  2. Step 2: Convert to fraction form
    106,096.59/159,146.87 = 84,938.36/x
  3. Step 3: Cross multiply
    106,096.59x = 159,146.87 × 84,938.36
  4. Step 4: Simplify right side
    106,096.59x = 13,517,672,916.51
  5. Step 5: Solve for x
    x = 13,517,672,916.51/106,096.59
  6. Step 6: Final answer
    x = 127,409.12

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Why These Related Problems?

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