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Finding the Fourth Proportional to 282,961, 390,541.66 and 162,183.24

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Solution

The fourth proportional to 282,961, 390,541.66 and 162,183.24 is: 223,844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,961 : 390,541.66 = 162,183.24 : x
  2. Step 2: Convert to fraction form
    282,961/390,541.66 = 162,183.24/x
  3. Step 3: Cross multiply
    282,961x = 390,541.66 × 162,183.24
  4. Step 4: Simplify right side
    282,961x = 63,339,311,773.78
  5. Step 5: Solve for x
    x = 63,339,311,773.78/282,961
  6. Step 6: Final answer
    x = 223,844.67

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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.