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Finding the Fourth Proportional to 105,915.25, 146,176.01 and 61,203.25

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Solution

The fourth proportional to 105,915.25, 146,176.01 and 61,203.25 is: 84,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,915.25 : 146,176.01 = 61,203.25 : x
  2. Step 2: Convert to fraction form
    105,915.25/146,176.01 = 61,203.25/x
  3. Step 3: Cross multiply
    105,915.25x = 146,176.01 × 61,203.25
  4. Step 4: Simplify right side
    105,915.25x = 8,946,446,884.03
  5. Step 5: Solve for x
    x = 8,946,446,884.03/105,915.25
  6. Step 6: Final answer
    x = 84,467.98

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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.