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Finding the Fourth Proportional to 208,142.69, 311,962.61 and 101,366.64

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Solution

The fourth proportional to 208,142.69, 311,962.61 and 101,366.64 is: 151,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.69 : 311,962.61 = 101,366.64 : x
  2. Step 2: Convert to fraction form
    208,142.69/311,962.61 = 101,366.64/x
  3. Step 3: Cross multiply
    208,142.69x = 311,962.61 × 101,366.64
  4. Step 4: Simplify right side
    208,142.69x = 31,622,601,074.50
  5. Step 5: Solve for x
    x = 31,622,601,074.50/208,142.69
  6. Step 6: Final answer
    x = 151,927.52

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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.