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Finding the Fourth Proportional to 208,265, 312,397.48 and 50,493.44

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Solution

The fourth proportional to 208,265, 312,397.48 and 50,493.44 is: 75,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,265 : 312,397.48 = 50,493.44 : x
  2. Step 2: Convert to fraction form
    208,265/312,397.48 = 50,493.44/x
  3. Step 3: Cross multiply
    208,265x = 312,397.48 × 50,493.44
  4. Step 4: Simplify right side
    208,265x = 15,774,023,412.53
  5. Step 5: Solve for x
    x = 15,774,023,412.53/208,265
  6. Step 6: Final answer
    x = 75,740.16

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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.