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Finding the Fourth Proportional to 118,913.27, 164,102.56 and 65,195.08

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Solution

The fourth proportional to 118,913.27, 164,102.56 and 65,195.08 is: 89,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,913.27 : 164,102.56 = 65,195.08 : x
  2. Step 2: Convert to fraction form
    118,913.27/164,102.56 = 65,195.08/x
  3. Step 3: Cross multiply
    118,913.27x = 164,102.56 × 65,195.08
  4. Step 4: Simplify right side
    118,913.27x = 10,698,678,954.16
  5. Step 5: Solve for x
    x = 10,698,678,954.16/118,913.27
  6. Step 6: Final answer
    x = 89,970.44

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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.