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Finding the Fourth Proportional to 365,095.44, 547,644.24 and 112,374

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Solution

The fourth proportional to 365,095.44, 547,644.24 and 112,374 is: 168,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,095.44 : 547,644.24 = 112,374 : x
  2. Step 2: Convert to fraction form
    365,095.44/547,644.24 = 112,374/x
  3. Step 3: Cross multiply
    365,095.44x = 547,644.24 × 112,374
  4. Step 4: Simplify right side
    365,095.44x = 61,540,973,825.76
  5. Step 5: Solve for x
    x = 61,540,973,825.76/365,095.44
  6. Step 6: Final answer
    x = 168,561.33

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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.