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Finding the Fourth Proportional to 118,971.70, 164,178.12 and 65,256.24

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Solution

The fourth proportional to 118,971.70, 164,178.12 and 65,256.24 is: 90,052.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971.70 : 164,178.12 = 65,256.24 : x
  2. Step 2: Convert to fraction form
    118,971.70/164,178.12 = 65,256.24/x
  3. Step 3: Cross multiply
    118,971.70x = 164,178.12 × 65,256.24
  4. Step 4: Simplify right side
    118,971.70x = 10,713,646,801.47
  5. Step 5: Solve for x
    x = 10,713,646,801.47/118,971.70
  6. Step 6: Final answer
    x = 90,052.06

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1.5x scale

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.