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Finding the Fourth Proportional to 102,364.37, 141,259.23 and 57,040.01

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Solution

The fourth proportional to 102,364.37, 141,259.23 and 57,040.01 is: 78,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364.37 : 141,259.23 = 57,040.01 : x
  2. Step 2: Convert to fraction form
    102,364.37/141,259.23 = 57,040.01/x
  3. Step 3: Cross multiply
    102,364.37x = 141,259.23 × 57,040.01
  4. Step 4: Simplify right side
    102,364.37x = 8,057,427,185.50
  5. Step 5: Solve for x
    x = 8,057,427,185.50/102,364.37
  6. Step 6: Final answer
    x = 78,713.20

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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.