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Finding the Fourth Proportional to 219,340.50, 302,675.36 and 127,451.60

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Solution

The fourth proportional to 219,340.50, 302,675.36 and 127,451.60 is: 175,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,340.50 : 302,675.36 = 127,451.60 : x
  2. Step 2: Convert to fraction form
    219,340.50/302,675.36 = 127,451.60/x
  3. Step 3: Cross multiply
    219,340.50x = 302,675.36 × 127,451.60
  4. Step 4: Simplify right side
    219,340.50x = 38,576,458,912.58
  5. Step 5: Solve for x
    x = 38,576,458,912.58/219,340.50
  6. Step 6: Final answer
    x = 175,874.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.