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Finding the Fourth Proportional to 102,393.37, 153,565.44 and 52,447.75

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Solution

The fourth proportional to 102,393.37, 153,565.44 and 52,447.75 is: 78,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,393.37 : 153,565.44 = 52,447.75 : x
  2. Step 2: Convert to fraction form
    102,393.37/153,565.44 = 52,447.75/x
  3. Step 3: Cross multiply
    102,393.37x = 153,565.44 × 52,447.75
  4. Step 4: Simplify right side
    102,393.37x = 8,054,162,531.50
  5. Step 5: Solve for x
    x = 8,054,162,531.50/102,393.37
  6. Step 6: Final answer
    x = 78,659.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.