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Finding the Fourth Proportional to 260,675.34, 359,731.80 and 141,443.34

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Solution

The fourth proportional to 260,675.34, 359,731.80 and 141,443.34 is: 195,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,675.34 : 359,731.80 = 141,443.34 : x
  2. Step 2: Convert to fraction form
    260,675.34/359,731.80 = 141,443.34/x
  3. Step 3: Cross multiply
    260,675.34x = 359,731.80 × 141,443.34
  4. Step 4: Simplify right side
    260,675.34x = 50,881,667,296.21
  5. Step 5: Solve for x
    x = 50,881,667,296.21/260,675.34
  6. Step 6: Final answer
    x = 195,191.72

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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.