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Finding the Fourth Proportional to 201,693.36, 302,583.60 and 61,448.16

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Solution

The fourth proportional to 201,693.36, 302,583.60 and 61,448.16 is: 92,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,693.36 : 302,583.60 = 61,448.16 : x
  2. Step 2: Convert to fraction form
    201,693.36/302,583.60 = 61,448.16/x
  3. Step 3: Cross multiply
    201,693.36x = 302,583.60 × 61,448.16
  4. Step 4: Simplify right side
    201,693.36x = 18,593,205,466.18
  5. Step 5: Solve for x
    x = 18,593,205,466.18/201,693.36
  6. Step 6: Final answer
    x = 92,185.51

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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.