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Finding the Fourth Proportional to 119,106.52, 164,369.05 and 65,393.80

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Solution

The fourth proportional to 119,106.52, 164,369.05 and 65,393.80 is: 90,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,106.52 : 164,369.05 = 65,393.80 : x
  2. Step 2: Convert to fraction form
    119,106.52/164,369.05 = 65,393.80/x
  3. Step 3: Cross multiply
    119,106.52x = 164,369.05 × 65,393.80
  4. Step 4: Simplify right side
    119,106.52x = 10,748,716,207.48
  5. Step 5: Solve for x
    x = 10,748,716,207.48/119,106.52
  6. Step 6: Final answer
    x = 90,244.57

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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.