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Finding the Fourth Proportional to 102,354.66, 141,259.82 and 57,040.02

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Solution

The fourth proportional to 102,354.66, 141,259.82 and 57,040.02 is: 78,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,354.66 : 141,259.82 = 57,040.02 : x
  2. Step 2: Convert to fraction form
    102,354.66/141,259.82 = 57,040.02/x
  3. Step 3: Cross multiply
    102,354.66x = 141,259.82 × 57,040.02
  4. Step 4: Simplify right side
    102,354.66x = 8,057,462,958.00
  5. Step 5: Solve for x
    x = 8,057,462,958.00/102,354.66
  6. Step 6: Final answer
    x = 78,721.02

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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.