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Finding the Fourth Proportional to 211,699.28, 292,143.23 and 116,200.28

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Solution

The fourth proportional to 211,699.28, 292,143.23 and 116,200.28 is: 160,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,699.28 : 292,143.23 = 116,200.28 : x
  2. Step 2: Convert to fraction form
    211,699.28/292,143.23 = 116,200.28/x
  3. Step 3: Cross multiply
    211,699.28x = 292,143.23 × 116,200.28
  4. Step 4: Simplify right side
    211,699.28x = 33,947,123,084.39
  5. Step 5: Solve for x
    x = 33,947,123,084.39/211,699.28
  6. Step 6: Final answer
    x = 160,355.41

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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.