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Finding the Fourth Proportional to 156,402.84, 234,580.50 and 51,219.48

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Solution

The fourth proportional to 156,402.84, 234,580.50 and 51,219.48 is: 76,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,402.84 : 234,580.50 = 51,219.48 : x
  2. Step 2: Convert to fraction form
    156,402.84/234,580.50 = 51,219.48/x
  3. Step 3: Cross multiply
    156,402.84x = 234,580.50 × 51,219.48
  4. Step 4: Simplify right side
    156,402.84x = 12,015,091,228.14
  5. Step 5: Solve for x
    x = 12,015,091,228.14/156,402.84
  6. Step 6: Final answer
    x = 76,821.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.