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Finding the Fourth Proportional to 118,970.96, 164,177.10 and 65,255.49

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Solution

The fourth proportional to 118,970.96, 164,177.10 and 65,255.49 is: 90,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,970.96 : 164,177.10 = 65,255.49 : x
  2. Step 2: Convert to fraction form
    118,970.96/164,177.10 = 65,255.49/x
  3. Step 3: Cross multiply
    118,970.96x = 164,177.10 × 65,255.49
  4. Step 4: Simplify right side
    118,970.96x = 10,713,457,107.28
  5. Step 5: Solve for x
    x = 10,713,457,107.28/118,970.96
  6. Step 6: Final answer
    x = 90,051.03

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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.