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Finding the Fourth Proportional to 102,858.34, 154,232.02 and 46,667.78

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Solution

The fourth proportional to 102,858.34, 154,232.02 and 46,667.78 is: 69,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,858.34 : 154,232.02 = 46,667.78 : x
  2. Step 2: Convert to fraction form
    102,858.34/154,232.02 = 46,667.78/x
  3. Step 3: Cross multiply
    102,858.34x = 154,232.02 × 46,667.78
  4. Step 4: Simplify right side
    102,858.34x = 7,197,665,978.32
  5. Step 5: Solve for x
    x = 7,197,665,978.32/102,858.34
  6. Step 6: Final answer
    x = 69,976.49

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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.