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Finding the Fourth Proportional to 356,083.64, 533,954.13 and 119,260.70

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Solution

The fourth proportional to 356,083.64, 533,954.13 and 119,260.70 is: 178,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,083.64 : 533,954.13 = 119,260.70 : x
  2. Step 2: Convert to fraction form
    356,083.64/533,954.13 = 119,260.70/x
  3. Step 3: Cross multiply
    356,083.64x = 533,954.13 × 119,260.70
  4. Step 4: Simplify right side
    356,083.64x = 63,679,743,311.69
  5. Step 5: Solve for x
    x = 63,679,743,311.69/356,083.64
  6. Step 6: Final answer
    x = 178,833.67

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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.