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Finding the Fourth Proportional to 119,039.90, 164,274.56 and 65,325.81

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Solution

The fourth proportional to 119,039.90, 164,274.56 and 65,325.81 is: 90,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,039.90 : 164,274.56 = 65,325.81 : x
  2. Step 2: Convert to fraction form
    119,039.90/164,274.56 = 65,325.81/x
  3. Step 3: Cross multiply
    119,039.90x = 164,274.56 × 65,325.81
  4. Step 4: Simplify right side
    119,039.90x = 10,731,368,367.76
  5. Step 5: Solve for x
    x = 10,731,368,367.76/119,039.90
  6. Step 6: Final answer
    x = 90,149.34

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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.