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Finding the Fourth Proportional to 142,054.56, 196,069.68 and 85,455

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Solution

The fourth proportional to 142,054.56, 196,069.68 and 85,455 is: 117,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,054.56 : 196,069.68 = 85,455 : x
  2. Step 2: Convert to fraction form
    142,054.56/196,069.68 = 85,455/x
  3. Step 3: Cross multiply
    142,054.56x = 196,069.68 × 85,455
  4. Step 4: Simplify right side
    142,054.56x = 16,755,134,504.40
  5. Step 5: Solve for x
    x = 16,755,134,504.40/142,054.56
  6. Step 6: Final answer
    x = 117,948.59

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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.