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Finding the Fourth Proportional to 118,951.34, 164,155.08 and 65,233.14

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Solution

The fourth proportional to 118,951.34, 164,155.08 and 65,233.14 is: 90,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,951.34 : 164,155.08 = 65,233.14 : x
  2. Step 2: Convert to fraction form
    118,951.34/164,155.08 = 65,233.14/x
  3. Step 3: Cross multiply
    118,951.34x = 164,155.08 × 65,233.14
  4. Step 4: Simplify right side
    118,951.34x = 10,708,351,315.35
  5. Step 5: Solve for x
    x = 10,708,351,315.35/118,951.34
  6. Step 6: Final answer
    x = 90,022.96

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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.