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Finding the Fourth Proportional to 227,846.40, 341,766.40 and 103,187.20

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Solution

The fourth proportional to 227,846.40, 341,766.40 and 103,187.20 is: 154,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,846.40 : 341,766.40 = 103,187.20 : x
  2. Step 2: Convert to fraction form
    227,846.40/341,766.40 = 103,187.20/x
  3. Step 3: Cross multiply
    227,846.40x = 341,766.40 × 103,187.20
  4. Step 4: Simplify right side
    227,846.40x = 35,265,917,870.08
  5. Step 5: Solve for x
    x = 35,265,917,870.08/227,846.40
  6. Step 6: Final answer
    x = 154,779.35

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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.