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Finding the Fourth Proportional to 97,898.25, 135,100.67 and 53,186.25

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Solution

The fourth proportional to 97,898.25, 135,100.67 and 53,186.25 is: 73,397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,898.25 : 135,100.67 = 53,186.25 : x
  2. Step 2: Convert to fraction form
    97,898.25/135,100.67 = 53,186.25/x
  3. Step 3: Cross multiply
    97,898.25x = 135,100.67 × 53,186.25
  4. Step 4: Simplify right side
    97,898.25x = 7,185,497,743.86
  5. Step 5: Solve for x
    x = 7,185,497,743.86/97,898.25
  6. Step 6: Final answer
    x = 73,397.61

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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.