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Finding the Fourth Proportional to 216,415.33, 298,652.33 and 120,922.00

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Solution

The fourth proportional to 216,415.33, 298,652.33 and 120,922.00 is: 166,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,415.33 : 298,652.33 = 120,922.00 : x
  2. Step 2: Convert to fraction form
    216,415.33/298,652.33 = 120,922.00/x
  3. Step 3: Cross multiply
    216,415.33x = 298,652.33 × 120,922.00
  4. Step 4: Simplify right side
    216,415.33x = 36,113,636,603.93
  5. Step 5: Solve for x
    x = 36,113,636,603.93/216,415.33
  6. Step 6: Final answer
    x = 166,871.90

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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.