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Finding the Fourth Proportional to 122,198.63, 183,314.34 and 52,094.34

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Solution

The fourth proportional to 122,198.63, 183,314.34 and 52,094.34 is: 78,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,198.63 : 183,314.34 = 52,094.34 : x
  2. Step 2: Convert to fraction form
    122,198.63/183,314.34 = 52,094.34/x
  3. Step 3: Cross multiply
    122,198.63x = 183,314.34 × 52,094.34
  4. Step 4: Simplify right side
    122,198.63x = 9,549,639,554.84
  5. Step 5: Solve for x
    x = 9,549,639,554.84/122,198.63
  6. Step 6: Final answer
    x = 78,148.50

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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.