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Finding the Fourth Proportional to 245,625, 338,962.50 and 139,641

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Solution

The fourth proportional to 245,625, 338,962.50 and 139,641 is: 192,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,625 : 338,962.50 = 139,641 : x
  2. Step 2: Convert to fraction form
    245,625/338,962.50 = 139,641/x
  3. Step 3: Cross multiply
    245,625x = 338,962.50 × 139,641
  4. Step 4: Simplify right side
    245,625x = 47,333,062,462.50
  5. Step 5: Solve for x
    x = 47,333,062,462.50/245,625
  6. Step 6: Final answer
    x = 192,704.58

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