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Finding the Fourth Proportional to 204,838.60, 307,257.90 and 148,851.40

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Solution

The fourth proportional to 204,838.60, 307,257.90 and 148,851.40 is: 223,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,838.60 : 307,257.90 = 148,851.40 : x
  2. Step 2: Convert to fraction form
    204,838.60/307,257.90 = 148,851.40/x
  3. Step 3: Cross multiply
    204,838.60x = 307,257.90 × 148,851.40
  4. Step 4: Simplify right side
    204,838.60x = 45,735,768,576.06
  5. Step 5: Solve for x
    x = 45,735,768,576.06/204,838.60
  6. Step 6: Final answer
    x = 223,277.10

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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.