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Finding the Fourth Proportional to 201,199.68, 301,930.56 and 76,541.76

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Solution

The fourth proportional to 201,199.68, 301,930.56 and 76,541.76 is: 114,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,199.68 : 301,930.56 = 76,541.76 : x
  2. Step 2: Convert to fraction form
    201,199.68/301,930.56 = 76,541.76/x
  3. Step 3: Cross multiply
    201,199.68x = 301,930.56 × 76,541.76
  4. Step 4: Simplify right side
    201,199.68x = 23,110,296,460.19
  5. Step 5: Solve for x
    x = 23,110,296,460.19/201,199.68
  6. Step 6: Final answer
    x = 114,862.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.