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Finding the Fourth Proportional to 137,916.54, 190,345.50 and 84,232.44

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Solution

The fourth proportional to 137,916.54, 190,345.50 and 84,232.44 is: 116,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,916.54 : 190,345.50 = 84,232.44 : x
  2. Step 2: Convert to fraction form
    137,916.54/190,345.50 = 84,232.44/x
  3. Step 3: Cross multiply
    137,916.54x = 190,345.50 × 84,232.44
  4. Step 4: Simplify right side
    137,916.54x = 16,033,265,908.02
  5. Step 5: Solve for x
    x = 16,033,265,908.02/137,916.54
  6. Step 6: Final answer
    x = 116,253.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.