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Finding the Fourth Proportional to 97,141.26, 134,054.92 and 54,698.88

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Solution

The fourth proportional to 97,141.26, 134,054.92 and 54,698.88 is: 75,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,141.26 : 134,054.92 = 54,698.88 : x
  2. Step 2: Convert to fraction form
    97,141.26/134,054.92 = 54,698.88/x
  3. Step 3: Cross multiply
    97,141.26x = 134,054.92 × 54,698.88
  4. Step 4: Simplify right side
    97,141.26x = 7,332,653,982.49
  5. Step 5: Solve for x
    x = 7,332,653,982.49/97,141.26
  6. Step 6: Final answer
    x = 75,484.44

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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.