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Finding the Fourth Proportional to 118,975.77, 164,197.13 and 65,271.22

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Solution

The fourth proportional to 118,975.77, 164,197.13 and 65,271.22 is: 90,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,975.77 : 164,197.13 = 65,271.22 : x
  2. Step 2: Convert to fraction form
    118,975.77/164,197.13 = 65,271.22/x
  3. Step 3: Cross multiply
    118,975.77x = 164,197.13 × 65,271.22
  4. Step 4: Simplify right side
    118,975.77x = 10,717,346,258.75
  5. Step 5: Solve for x
    x = 10,717,346,258.75/118,975.77
  6. Step 6: Final answer
    x = 90,080.07

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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.