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Finding the Fourth Proportional to 220,827.30, 304,741.72 and 120,225.30

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Solution

The fourth proportional to 220,827.30, 304,741.72 and 120,225.30 is: 165,910.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,827.30 : 304,741.72 = 120,225.30 : x
  2. Step 2: Convert to fraction form
    220,827.30/304,741.72 = 120,225.30/x
  3. Step 3: Cross multiply
    220,827.30x = 304,741.72 × 120,225.30
  4. Step 4: Simplify right side
    220,827.30x = 36,637,664,709.52
  5. Step 5: Solve for x
    x = 36,637,664,709.52/220,827.30
  6. Step 6: Final answer
    x = 165,910.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.