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Finding the Fourth Proportional to 227,813.60, 341,720.40 and 132,946.40

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Solution

The fourth proportional to 227,813.60, 341,720.40 and 132,946.40 is: 199,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,813.60 : 341,720.40 = 132,946.40 : x
  2. Step 2: Convert to fraction form
    227,813.60/341,720.40 = 132,946.40/x
  3. Step 3: Cross multiply
    227,813.60x = 341,720.40 × 132,946.40
  4. Step 4: Simplify right side
    227,813.60x = 45,430,496,986.56
  5. Step 5: Solve for x
    x = 45,430,496,986.56/227,813.60
  6. Step 6: Final answer
    x = 199,419.60

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Why These Related Problems?

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