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Finding the Fourth Proportional to 118,998.52, 164,219.21 and 65,282.16

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Solution

The fourth proportional to 118,998.52, 164,219.21 and 65,282.16 is: 90,090.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,998.52 : 164,219.21 = 65,282.16 : x
  2. Step 2: Convert to fraction form
    118,998.52/164,219.21 = 65,282.16/x
  3. Step 3: Cross multiply
    118,998.52x = 164,219.21 × 65,282.16
  4. Step 4: Simplify right side
    118,998.52x = 10,720,584,742.29
  5. Step 5: Solve for x
    x = 10,720,584,742.29/118,998.52
  6. Step 6: Final answer
    x = 90,090.07

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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.