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Finding the Fourth Proportional to 201,828.34, 278,806.40 and 191,199.52

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Solution

The fourth proportional to 201,828.34, 278,806.40 and 191,199.52 is: 264,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,828.34 : 278,806.40 = 191,199.52 : x
  2. Step 2: Convert to fraction form
    201,828.34/278,806.40 = 191,199.52/x
  3. Step 3: Cross multiply
    201,828.34x = 278,806.40 × 191,199.52
  4. Step 4: Simplify right side
    201,828.34x = 53,307,651,026.69
  5. Step 5: Solve for x
    x = 53,307,651,026.69/201,828.34
  6. Step 6: Final answer
    x = 264,123.71

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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.