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Finding the Fourth Proportional to 102,185.15, 140,957.21 and 61,338.40

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Solution

The fourth proportional to 102,185.15, 140,957.21 and 61,338.40 is: 84,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,185.15 : 140,957.21 = 61,338.40 : x
  2. Step 2: Convert to fraction form
    102,185.15/140,957.21 = 61,338.40/x
  3. Step 3: Cross multiply
    102,185.15x = 140,957.21 × 61,338.40
  4. Step 4: Simplify right side
    102,185.15x = 8,646,089,530.82
  5. Step 5: Solve for x
    x = 8,646,089,530.82/102,185.15
  6. Step 6: Final answer
    x = 84,612.00

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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.