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Finding the Fourth Proportional to 86,741.94, 119,637.84 and 74,662.98

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Solution

The fourth proportional to 86,741.94, 119,637.84 and 74,662.98 is: 102,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,741.94 : 119,637.84 = 74,662.98 : x
  2. Step 2: Convert to fraction form
    86,741.94/119,637.84 = 74,662.98/x
  3. Step 3: Cross multiply
    86,741.94x = 119,637.84 × 74,662.98
  4. Step 4: Simplify right side
    86,741.94x = 8,932,517,655.16
  5. Step 5: Solve for x
    x = 8,932,517,655.16/86,741.94
  6. Step 6: Final answer
    x = 102,978.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.