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Finding the Fourth Proportional to 118,892.11, 164,072.28 and 65,178.22

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Solution

The fourth proportional to 118,892.11, 164,072.28 and 65,178.22 is: 89,946.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,892.11 : 164,072.28 = 65,178.22 : x
  2. Step 2: Convert to fraction form
    118,892.11/164,072.28 = 65,178.22/x
  3. Step 3: Cross multiply
    118,892.11x = 164,072.28 × 65,178.22
  4. Step 4: Simplify right side
    118,892.11x = 10,693,939,161.74
  5. Step 5: Solve for x
    x = 10,693,939,161.74/118,892.11
  6. Step 6: Final answer
    x = 89,946.58

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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.