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Finding the Fourth Proportional to 118,996.80, 164,214.18 and 65,282.22

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Solution

The fourth proportional to 118,996.80, 164,214.18 and 65,282.22 is: 90,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,996.80 : 164,214.18 = 65,282.22 : x
  2. Step 2: Convert to fraction form
    118,996.80/164,214.18 = 65,282.22/x
  3. Step 3: Cross multiply
    118,996.80x = 164,214.18 × 65,282.22
  4. Step 4: Simplify right side
    118,996.80x = 10,720,266,225.88
  5. Step 5: Solve for x
    x = 10,720,266,225.88/118,996.80
  6. Step 6: Final answer
    x = 90,088.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.