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Finding the Fourth Proportional to 260,674.34, 359,730.42 and 141,442.34

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Solution

The fourth proportional to 260,674.34, 359,730.42 and 141,442.34 is: 195,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,674.34 : 359,730.42 = 141,442.34 : x
  2. Step 2: Convert to fraction form
    260,674.34/359,730.42 = 141,442.34/x
  3. Step 3: Cross multiply
    260,674.34x = 359,730.42 × 141,442.34
  4. Step 4: Simplify right side
    260,674.34x = 50,881,112,373.98
  5. Step 5: Solve for x
    x = 50,881,112,373.98/260,674.34
  6. Step 6: Final answer
    x = 195,190.34

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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.