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Finding the Fourth Proportional to 201,805.78, 278,491.98 and 116,972.02

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Solution

The fourth proportional to 201,805.78, 278,491.98 and 116,972.02 is: 161,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,805.78 : 278,491.98 = 116,972.02 : x
  2. Step 2: Convert to fraction form
    201,805.78/278,491.98 = 116,972.02/x
  3. Step 3: Cross multiply
    201,805.78x = 278,491.98 × 116,972.02
  4. Step 4: Simplify right side
    201,805.78x = 32,575,769,454.40
  5. Step 5: Solve for x
    x = 32,575,769,454.40/201,805.78
  6. Step 6: Final answer
    x = 161,421.39

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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.