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Finding the Fourth Proportional to 201,886.98, 278,616.47 and 111,242.94

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Solution

The fourth proportional to 201,886.98, 278,616.47 and 111,242.94 is: 153,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886.98 : 278,616.47 = 111,242.94 : x
  2. Step 2: Convert to fraction form
    201,886.98/278,616.47 = 111,242.94/x
  3. Step 3: Cross multiply
    201,886.98x = 278,616.47 × 111,242.94
  4. Step 4: Simplify right side
    201,886.98x = 30,994,115,255.22
  5. Step 5: Solve for x
    x = 30,994,115,255.22/201,886.98
  6. Step 6: Final answer
    x = 153,522.11

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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.