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Finding the Fourth Proportional to 277,862, 383,449.72 and 150,538.48

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Solution

The fourth proportional to 277,862, 383,449.72 and 150,538.48 is: 207,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,862 : 383,449.72 = 150,538.48 : x
  2. Step 2: Convert to fraction form
    277,862/383,449.72 = 150,538.48/x
  3. Step 3: Cross multiply
    277,862x = 383,449.72 × 150,538.48
  4. Step 4: Simplify right side
    277,862x = 57,723,938,005.23
  5. Step 5: Solve for x
    x = 57,723,938,005.23/277,862
  6. Step 6: Final answer
    x = 207,743.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.