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Finding the Fourth Proportional to 137,364.38, 189,376.72 and 117,435.34

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Solution

The fourth proportional to 137,364.38, 189,376.72 and 117,435.34 is: 161,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,364.38 : 189,376.72 = 117,435.34 : x
  2. Step 2: Convert to fraction form
    137,364.38/189,376.72 = 117,435.34/x
  3. Step 3: Cross multiply
    137,364.38x = 189,376.72 × 117,435.34
  4. Step 4: Simplify right side
    137,364.38x = 22,239,519,501.28
  5. Step 5: Solve for x
    x = 22,239,519,501.28/137,364.38
  6. Step 6: Final answer
    x = 161,901.65

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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.