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Finding the Fourth Proportional to 208,265, 312,398.52 and 50,493.44

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Solution

The fourth proportional to 208,265, 312,398.52 and 50,493.44 is: 75,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,265 : 312,398.52 = 50,493.44 : x
  2. Step 2: Convert to fraction form
    208,265/312,398.52 = 50,493.44/x
  3. Step 3: Cross multiply
    208,265x = 312,398.52 × 50,493.44
  4. Step 4: Simplify right side
    208,265x = 15,774,075,925.71
  5. Step 5: Solve for x
    x = 15,774,075,925.71/208,265
  6. Step 6: Final answer
    x = 75,740.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.