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Finding the Fourth Proportional to 97,184.97, 134,119.42 and 54,164.45

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Solution

The fourth proportional to 97,184.97, 134,119.42 and 54,164.45 is: 74,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,184.97 : 134,119.42 = 54,164.45 : x
  2. Step 2: Convert to fraction form
    97,184.97/134,119.42 = 54,164.45/x
  3. Step 3: Cross multiply
    97,184.97x = 134,119.42 × 54,164.45
  4. Step 4: Simplify right side
    97,184.97x = 7,264,504,818.51
  5. Step 5: Solve for x
    x = 7,264,504,818.51/97,184.97
  6. Step 6: Final answer
    x = 74,749.26

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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.