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Finding the Fourth Proportional to 102,114.69, 140,917.01 and 57,402.69

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Solution

The fourth proportional to 102,114.69, 140,917.01 and 57,402.69 is: 79,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114.69 : 140,917.01 = 57,402.69 : x
  2. Step 2: Convert to fraction form
    102,114.69/140,917.01 = 57,402.69/x
  3. Step 3: Cross multiply
    102,114.69x = 140,917.01 × 57,402.69
  4. Step 4: Simplify right side
    102,114.69x = 8,089,015,440.76
  5. Step 5: Solve for x
    x = 8,089,015,440.76/102,114.69
  6. Step 6: Final answer
    x = 79,215.00

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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.