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Finding the Fourth Proportional to 137,362.62, 189,374.32 and 117,433.59

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Solution

The fourth proportional to 137,362.62, 189,374.32 and 117,433.59 is: 161,899.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,362.62 : 189,374.32 = 117,433.59 : x
  2. Step 2: Convert to fraction form
    137,362.62/189,374.32 = 117,433.59/x
  3. Step 3: Cross multiply
    137,362.62x = 189,374.32 × 117,433.59
  4. Step 4: Simplify right side
    137,362.62x = 22,238,906,251.41
  5. Step 5: Solve for x
    x = 22,238,906,251.41/137,362.62
  6. Step 6: Final answer
    x = 161,899.26

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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.