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Finding the Fourth Proportional to 118,970.70, 164,176.74 and 65,255.24

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Solution

The fourth proportional to 118,970.70, 164,176.74 and 65,255.24 is: 90,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,970.70 : 164,176.74 = 65,255.24 : x
  2. Step 2: Convert to fraction form
    118,970.70/164,176.74 = 65,255.24/x
  3. Step 3: Cross multiply
    118,970.70x = 164,176.74 × 65,255.24
  4. Step 4: Simplify right side
    118,970.70x = 10,713,392,571.12
  5. Step 5: Solve for x
    x = 10,713,392,571.12/118,970.70
  6. Step 6: Final answer
    x = 90,050.68

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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.