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Finding the Fourth Proportional to 261,715, 361,166.72 and 142,483

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Solution

The fourth proportional to 261,715, 361,166.72 and 142,483 is: 196,626.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,715 : 361,166.72 = 142,483 : x
  2. Step 2: Convert to fraction form
    261,715/361,166.72 = 142,483/x
  3. Step 3: Cross multiply
    261,715x = 361,166.72 × 142,483
  4. Step 4: Simplify right side
    261,715x = 51,460,117,765.76
  5. Step 5: Solve for x
    x = 51,460,117,765.76/261,715
  6. Step 6: Final answer
    x = 196,626.55

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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.