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Finding the Fourth Proportional to 215,334.84, 322,999.38 and 75,093

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Solution

The fourth proportional to 215,334.84, 322,999.38 and 75,093 is: 112,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,334.84 : 322,999.38 = 75,093 : x
  2. Step 2: Convert to fraction form
    215,334.84/322,999.38 = 75,093/x
  3. Step 3: Cross multiply
    215,334.84x = 322,999.38 × 75,093
  4. Step 4: Simplify right side
    215,334.84x = 24,254,992,442.34
  5. Step 5: Solve for x
    x = 24,254,992,442.34/215,334.84
  6. Step 6: Final answer
    x = 112,638.50

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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.