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Finding the Fourth Proportional to 119,146.14, 164,421.60 and 65,434.53

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Solution

The fourth proportional to 119,146.14, 164,421.60 and 65,434.53 is: 90,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,146.14 : 164,421.60 = 65,434.53 : x
  2. Step 2: Convert to fraction form
    119,146.14/164,421.60 = 65,434.53/x
  3. Step 3: Cross multiply
    119,146.14x = 164,421.60 × 65,434.53
  4. Step 4: Simplify right side
    119,146.14x = 10,758,850,489.05
  5. Step 5: Solve for x
    x = 10,758,850,489.05/119,146.14
  6. Step 6: Final answer
    x = 90,299.61

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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.