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Finding the Fourth Proportional to 201,803.06, 278,488.24 and 116,969.33

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Solution

The fourth proportional to 201,803.06, 278,488.24 and 116,969.33 is: 161,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,803.06 : 278,488.24 = 116,969.33 : x
  2. Step 2: Convert to fraction form
    201,803.06/278,488.24 = 116,969.33/x
  3. Step 3: Cross multiply
    201,803.06x = 278,488.24 × 116,969.33
  4. Step 4: Simplify right side
    201,803.06x = 32,574,583,249.48
  5. Step 5: Solve for x
    x = 32,574,583,249.48/201,803.06
  6. Step 6: Final answer
    x = 161,417.69

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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.