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Finding the Fourth Proportional to 227,746.80, 341,722.60 and 103,023.60

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Solution

The fourth proportional to 227,746.80, 341,722.60 and 103,023.60 is: 154,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,746.80 : 341,722.60 = 103,023.60 : x
  2. Step 2: Convert to fraction form
    227,746.80/341,722.60 = 103,023.60/x
  3. Step 3: Cross multiply
    227,746.80x = 341,722.60 × 103,023.60
  4. Step 4: Simplify right side
    227,746.80x = 35,205,492,453.36
  5. Step 5: Solve for x
    x = 35,205,492,453.36/227,746.80
  6. Step 6: Final answer
    x = 154,581.72

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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.