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Finding the Fourth Proportional to 201,661.98, 278,262.66 and 116,762.64

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Solution

The fourth proportional to 201,661.98, 278,262.66 and 116,762.64 is: 161,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,661.98 : 278,262.66 = 116,762.64 : x
  2. Step 2: Convert to fraction form
    201,661.98/278,262.66 = 116,762.64/x
  3. Step 3: Cross multiply
    201,661.98x = 278,262.66 × 116,762.64
  4. Step 4: Simplify right side
    201,661.98x = 32,490,682,795.02
  5. Step 5: Solve for x
    x = 32,490,682,795.02/201,661.98
  6. Step 6: Final answer
    x = 161,114.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.