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Finding the Fourth Proportional to 213,189.44, 294,239.94 and 127,153.94

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Solution

The fourth proportional to 213,189.44, 294,239.94 and 127,153.94 is: 175,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,189.44 : 294,239.94 = 127,153.94 : x
  2. Step 2: Convert to fraction form
    213,189.44/294,239.94 = 127,153.94/x
  3. Step 3: Cross multiply
    213,189.44x = 294,239.94 × 127,153.94
  4. Step 4: Simplify right side
    213,189.44x = 37,413,767,676.36
  5. Step 5: Solve for x
    x = 37,413,767,676.36/213,189.44
  6. Step 6: Final answer
    x = 175,495.41

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1.5x scale

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.