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Finding the Fourth Proportional to 189,405.14, 261,378.90 and 121,422.04

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Solution

The fourth proportional to 189,405.14, 261,378.90 and 121,422.04 is: 167,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,405.14 : 261,378.90 = 121,422.04 : x
  2. Step 2: Convert to fraction form
    189,405.14/261,378.90 = 121,422.04/x
  3. Step 3: Cross multiply
    189,405.14x = 261,378.90 × 121,422.04
  4. Step 4: Simplify right side
    189,405.14x = 31,737,158,597.51
  5. Step 5: Solve for x
    x = 31,737,158,597.51/189,405.14
  6. Step 6: Final answer
    x = 167,562.29

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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.