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Finding the Fourth Proportional to 98,066, 135,333.96 and 53,356.88

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Solution

The fourth proportional to 98,066, 135,333.96 and 53,356.88 is: 73,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,066 : 135,333.96 = 53,356.88 : x
  2. Step 2: Convert to fraction form
    98,066/135,333.96 = 53,356.88/x
  3. Step 3: Cross multiply
    98,066x = 135,333.96 × 53,356.88
  4. Step 4: Simplify right side
    98,066x = 7,220,997,863.64
  5. Step 5: Solve for x
    x = 7,220,997,863.64/98,066
  6. Step 6: Final answer
    x = 73,634.06

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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.