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Finding the Fourth Proportional to 137,808.34, 189,987.42 and 89,322.55

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Solution

The fourth proportional to 137,808.34, 189,987.42 and 89,322.55 is: 123,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,808.34 : 189,987.42 = 89,322.55 : x
  2. Step 2: Convert to fraction form
    137,808.34/189,987.42 = 89,322.55/x
  3. Step 3: Cross multiply
    137,808.34x = 189,987.42 × 89,322.55
  4. Step 4: Simplify right side
    137,808.34x = 16,970,160,682.31
  5. Step 5: Solve for x
    x = 16,970,160,682.31/137,808.34
  6. Step 6: Final answer
    x = 123,143.21

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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.