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Finding the Fourth Proportional to 213,871.67, 295,122.69 and 127,813.52

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Solution

The fourth proportional to 213,871.67, 295,122.69 and 127,813.52 is: 176,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,871.67 : 295,122.69 = 127,813.52 : x
  2. Step 2: Convert to fraction form
    213,871.67/295,122.69 = 127,813.52/x
  3. Step 3: Cross multiply
    213,871.67x = 295,122.69 × 127,813.52
  4. Step 4: Simplify right side
    213,871.67x = 37,720,669,840.77
  5. Step 5: Solve for x
    x = 37,720,669,840.77/213,871.67
  6. Step 6: Final answer
    x = 176,370.58

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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.