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Finding the Fourth Proportional to 118,946.64, 164,146.59 and 65,232.06

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Solution

The fourth proportional to 118,946.64, 164,146.59 and 65,232.06 is: 90,020.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946.64 : 164,146.59 = 65,232.06 : x
  2. Step 2: Convert to fraction form
    118,946.64/164,146.59 = 65,232.06/x
  3. Step 3: Cross multiply
    118,946.64x = 164,146.59 × 65,232.06
  4. Step 4: Simplify right side
    118,946.64x = 10,707,620,207.68
  5. Step 5: Solve for x
    x = 10,707,620,207.68/118,946.64
  6. Step 6: Final answer
    x = 90,020.37

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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.