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Finding the Fourth Proportional to 103,645.44, 143,033.04 and 61,188.48

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Solution

The fourth proportional to 103,645.44, 143,033.04 and 61,188.48 is: 84,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,645.44 : 143,033.04 = 61,188.48 : x
  2. Step 2: Convert to fraction form
    103,645.44/143,033.04 = 61,188.48/x
  3. Step 3: Cross multiply
    103,645.44x = 143,033.04 × 61,188.48
  4. Step 4: Simplify right side
    103,645.44x = 8,751,974,307.38
  5. Step 5: Solve for x
    x = 8,751,974,307.38/103,645.44
  6. Step 6: Final answer
    x = 84,441.48

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Why These Related Problems?

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