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Finding the Fourth Proportional to 201,737.06, 301,762.83 and 141,761.32

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Solution

The fourth proportional to 201,737.06, 301,762.83 and 141,761.32 is: 212,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,737.06 : 301,762.83 = 141,761.32 : x
  2. Step 2: Convert to fraction form
    201,737.06/301,762.83 = 141,761.32/x
  3. Step 3: Cross multiply
    201,737.06x = 301,762.83 × 141,761.32
  4. Step 4: Simplify right side
    201,737.06x = 42,778,296,884.93
  5. Step 5: Solve for x
    x = 42,778,296,884.93/201,737.06
  6. Step 6: Final answer
    x = 212,049.77

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Why These Related Problems?

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