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Finding the Fourth Proportional to 102,409.46, 141,325.67 and 57,090.31

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Solution

The fourth proportional to 102,409.46, 141,325.67 and 57,090.31 is: 78,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,409.46 : 141,325.67 = 57,090.31 : x
  2. Step 2: Convert to fraction form
    102,409.46/141,325.67 = 57,090.31/x
  3. Step 3: Cross multiply
    102,409.46x = 141,325.67 × 57,090.31
  4. Step 4: Simplify right side
    102,409.46x = 8,068,326,427.16
  5. Step 5: Solve for x
    x = 8,068,326,427.16/102,409.46
  6. Step 6: Final answer
    x = 78,784.97

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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.