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Finding the Fourth Proportional to 102,485.67, 141,430.46 and 57,162.53

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Solution

The fourth proportional to 102,485.67, 141,430.46 and 57,162.53 is: 78,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,485.67 : 141,430.46 = 57,162.53 : x
  2. Step 2: Convert to fraction form
    102,485.67/141,430.46 = 57,162.53/x
  3. Step 3: Cross multiply
    102,485.67x = 141,430.46 × 57,162.53
  4. Step 4: Simplify right side
    102,485.67x = 8,084,521,919.70
  5. Step 5: Solve for x
    x = 8,084,521,919.70/102,485.67
  6. Step 6: Final answer
    x = 78,884.41

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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.