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Finding the Fourth Proportional to 189,451.65, 261,537.90 and 117,854.94

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Solution

The fourth proportional to 189,451.65, 261,537.90 and 117,854.94 is: 162,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,451.65 : 261,537.90 = 117,854.94 : x
  2. Step 2: Convert to fraction form
    189,451.65/261,537.90 = 117,854.94/x
  3. Step 3: Cross multiply
    189,451.65x = 261,537.90 × 117,854.94
  4. Step 4: Simplify right side
    189,451.65x = 30,823,533,512.23
  5. Step 5: Solve for x
    x = 30,823,533,512.23/189,451.65
  6. Step 6: Final answer
    x = 162,698.68

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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.