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Finding the Fourth Proportional to 189,407.64, 261,382.35 and 121,424.55

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Solution

The fourth proportional to 189,407.64, 261,382.35 and 121,424.55 is: 167,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,407.64 : 261,382.35 = 121,424.55 : x
  2. Step 2: Convert to fraction form
    189,407.64/261,382.35 = 121,424.55/x
  3. Step 3: Cross multiply
    189,407.64x = 261,382.35 × 121,424.55
  4. Step 4: Simplify right side
    189,407.64x = 31,738,234,226.69
  5. Step 5: Solve for x
    x = 31,738,234,226.69/189,407.64
  6. Step 6: Final answer
    x = 167,565.76

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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.