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Finding the Fourth Proportional to 189,364.57, 261,417.80 and 117,767.66

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Solution

The fourth proportional to 189,364.57, 261,417.80 and 117,767.66 is: 162,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,364.57 : 261,417.80 = 117,767.66 : x
  2. Step 2: Convert to fraction form
    189,364.57/261,417.80 = 117,767.66/x
  3. Step 3: Cross multiply
    189,364.57x = 261,417.80 × 117,767.66
  4. Step 4: Simplify right side
    189,364.57x = 30,786,562,229.22
  5. Step 5: Solve for x
    x = 30,786,562,229.22/189,364.57
  6. Step 6: Final answer
    x = 162,578.26

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