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Finding the Fourth Proportional to 102,745.10, 141,858.06 and 66,534.06

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Solution

The fourth proportional to 102,745.10, 141,858.06 and 66,534.06 is: 91,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,745.10 : 141,858.06 = 66,534.06 : x
  2. Step 2: Convert to fraction form
    102,745.10/141,858.06 = 66,534.06/x
  3. Step 3: Cross multiply
    102,745.10x = 141,858.06 × 66,534.06
  4. Step 4: Simplify right side
    102,745.10x = 9,438,392,675.52
  5. Step 5: Solve for x
    x = 9,438,392,675.52/102,745.10
  6. Step 6: Final answer
    x = 91,862.22

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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.