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Finding the Fourth Proportional to 261,269.42, 360,550.11 and 142,037.42

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Solution

The fourth proportional to 261,269.42, 360,550.11 and 142,037.42 is: 196,010.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,269.42 : 360,550.11 = 142,037.42 : x
  2. Step 2: Convert to fraction form
    261,269.42/360,550.11 = 142,037.42/x
  3. Step 3: Cross multiply
    261,269.42x = 360,550.11 × 142,037.42
  4. Step 4: Simplify right side
    261,269.42x = 51,211,607,405.12
  5. Step 5: Solve for x
    x = 51,211,607,405.12/261,269.42
  6. Step 6: Final answer
    x = 196,010.72

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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.