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Finding the Fourth Proportional to 185,541, 278,329.73 and 52,422.30

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Solution

The fourth proportional to 185,541, 278,329.73 and 52,422.30 is: 78,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,541 : 278,329.73 = 52,422.30 : x
  2. Step 2: Convert to fraction form
    185,541/278,329.73 = 52,422.30/x
  3. Step 3: Cross multiply
    185,541x = 278,329.73 × 52,422.30
  4. Step 4: Simplify right side
    185,541x = 14,590,684,604.98
  5. Step 5: Solve for x
    x = 14,590,684,604.98/185,541
  6. Step 6: Final answer
    x = 78,638.60

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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.