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Finding the Fourth Proportional to 102,858.19, 154,287.29 and 43,652.35

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Solution

The fourth proportional to 102,858.19, 154,287.29 and 43,652.35 is: 65,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,858.19 : 154,287.29 = 43,652.35 : x
  2. Step 2: Convert to fraction form
    102,858.19/154,287.29 = 43,652.35/x
  3. Step 3: Cross multiply
    102,858.19x = 154,287.29 × 43,652.35
  4. Step 4: Simplify right side
    102,858.19x = 6,735,002,783.63
  5. Step 5: Solve for x
    x = 6,735,002,783.63/102,858.19
  6. Step 6: Final answer
    x = 65,478.53

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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.