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Finding the Fourth Proportional to 275,811.36, 413,506.56 and 142,606.58

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Solution

The fourth proportional to 275,811.36, 413,506.56 and 142,606.58 is: 213,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,811.36 : 413,506.56 = 142,606.58 : x
  2. Step 2: Convert to fraction form
    275,811.36/413,506.56 = 142,606.58/x
  3. Step 3: Cross multiply
    275,811.36x = 413,506.56 × 142,606.58
  4. Step 4: Simplify right side
    275,811.36x = 58,968,756,329.16
  5. Step 5: Solve for x
    x = 58,968,756,329.16/275,811.36
  6. Step 6: Final answer
    x = 213,801.04

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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.