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Finding the Fourth Proportional to 201,850.65, 278,554.16 and 109,969.48

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Solution

The fourth proportional to 201,850.65, 278,554.16 and 109,969.48 is: 151,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,850.65 : 278,554.16 = 109,969.48 : x
  2. Step 2: Convert to fraction form
    201,850.65/278,554.16 = 109,969.48/x
  3. Step 3: Cross multiply
    201,850.65x = 278,554.16 × 109,969.48
  4. Step 4: Simplify right side
    201,850.65x = 30,632,455,577.19
  5. Step 5: Solve for x
    x = 30,632,455,577.19/201,850.65
  6. Step 6: Final answer
    x = 151,758.02

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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.