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Finding the Fourth Proportional to 213,986.94, 320,790.06 and 101,597.82

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Solution

The fourth proportional to 213,986.94, 320,790.06 and 101,597.82 is: 152,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,986.94 : 320,790.06 = 101,597.82 : x
  2. Step 2: Convert to fraction form
    213,986.94/320,790.06 = 101,597.82/x
  3. Step 3: Cross multiply
    213,986.94x = 320,790.06 × 101,597.82
  4. Step 4: Simplify right side
    213,986.94x = 32,591,570,773.67
  5. Step 5: Solve for x
    x = 32,591,570,773.67/213,986.94
  6. Step 6: Final answer
    x = 152,306.35

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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.