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Finding the Fourth Proportional to 205,223.28, 283,326 and 156,442.32

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Solution

The fourth proportional to 205,223.28, 283,326 and 156,442.32 is: 215,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,223.28 : 283,326 = 156,442.32 : x
  2. Step 2: Convert to fraction form
    205,223.28/283,326 = 156,442.32/x
  3. Step 3: Cross multiply
    205,223.28x = 283,326 × 156,442.32
  4. Step 4: Simplify right side
    205,223.28x = 44,324,176,756.32
  5. Step 5: Solve for x
    x = 44,324,176,756.32/205,223.28
  6. Step 6: Final answer
    x = 215,980.26

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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.