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Finding the Fourth Proportional to 102,073.32, 153,141.11 and 52,188.46

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Solution

The fourth proportional to 102,073.32, 153,141.11 and 52,188.46 is: 78,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.32 : 153,141.11 = 52,188.46 : x
  2. Step 2: Convert to fraction form
    102,073.32/153,141.11 = 52,188.46/x
  3. Step 3: Cross multiply
    102,073.32x = 153,141.11 × 52,188.46
  4. Step 4: Simplify right side
    102,073.32x = 7,992,198,245.50
  5. Step 5: Solve for x
    x = 7,992,198,245.50/102,073.32
  6. Step 6: Final answer
    x = 78,298.60

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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.