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Finding the Fourth Proportional to 119,111.14, 164,373.71 and 65,399.64

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Solution

The fourth proportional to 119,111.14, 164,373.71 and 65,399.64 is: 90,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,111.14 : 164,373.71 = 65,399.64 : x
  2. Step 2: Convert to fraction form
    119,111.14/164,373.71 = 65,399.64/x
  3. Step 3: Cross multiply
    119,111.14x = 164,373.71 × 65,399.64
  4. Step 4: Simplify right side
    119,111.14x = 10,749,980,516.06
  5. Step 5: Solve for x
    x = 10,749,980,516.06/119,111.14
  6. Step 6: Final answer
    x = 90,251.68

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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.