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Finding the Fourth Proportional to 106,842.34, 160,271.94 and 35,765.40

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Solution

The fourth proportional to 106,842.34, 160,271.94 and 35,765.40 is: 53,650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,842.34 : 160,271.94 = 35,765.40 : x
  2. Step 2: Convert to fraction form
    106,842.34/160,271.94 = 35,765.40/x
  3. Step 3: Cross multiply
    106,842.34x = 160,271.94 × 35,765.40
  4. Step 4: Simplify right side
    106,842.34x = 5,732,190,042.88
  5. Step 5: Solve for x
    x = 5,732,190,042.88/106,842.34
  6. Step 6: Final answer
    x = 53,650.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.