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Finding the Fourth Proportional to 213,057.10, 319,510.05 and 94,516.30

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Solution

The fourth proportional to 213,057.10, 319,510.05 and 94,516.30 is: 141,740.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,057.10 : 319,510.05 = 94,516.30 : x
  2. Step 2: Convert to fraction form
    213,057.10/319,510.05 = 94,516.30/x
  3. Step 3: Cross multiply
    213,057.10x = 319,510.05 × 94,516.30
  4. Step 4: Simplify right side
    213,057.10x = 30,198,907,738.82
  5. Step 5: Solve for x
    x = 30,198,907,738.82/213,057.10
  6. Step 6: Final answer
    x = 141,740.91

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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.