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Finding the Fourth Proportional to 158,636.92, 237,968.34 and 65,143.48

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Solution

The fourth proportional to 158,636.92, 237,968.34 and 65,143.48 is: 97,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,636.92 : 237,968.34 = 65,143.48 : x
  2. Step 2: Convert to fraction form
    158,636.92/237,968.34 = 65,143.48/x
  3. Step 3: Cross multiply
    158,636.92x = 237,968.34 × 65,143.48
  4. Step 4: Simplify right side
    158,636.92x = 15,502,085,797.42
  5. Step 5: Solve for x
    x = 15,502,085,797.42/158,636.92
  6. Step 6: Final answer
    x = 97,720.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.