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Finding the Fourth Proportional to 105,544.49, 145,649.63 and 57,146.03

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Solution

The fourth proportional to 105,544.49, 145,649.63 and 57,146.03 is: 78,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,544.49 : 145,649.63 = 57,146.03 : x
  2. Step 2: Convert to fraction form
    105,544.49/145,649.63 = 57,146.03/x
  3. Step 3: Cross multiply
    105,544.49x = 145,649.63 × 57,146.03
  4. Step 4: Simplify right side
    105,544.49x = 8,323,297,111.49
  5. Step 5: Solve for x
    x = 8,323,297,111.49/105,544.49
  6. Step 6: Final answer
    x = 78,860.56

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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.