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Finding the Fourth Proportional to 189,421.54, 284,121.92 and 114,521.57

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Solution

The fourth proportional to 189,421.54, 284,121.92 and 114,521.57 is: 171,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,421.54 : 284,121.92 = 114,521.57 : x
  2. Step 2: Convert to fraction form
    189,421.54/284,121.92 = 114,521.57/x
  3. Step 3: Cross multiply
    189,421.54x = 284,121.92 × 114,521.57
  4. Step 4: Simplify right side
    189,421.54x = 32,538,088,349.81
  5. Step 5: Solve for x
    x = 32,538,088,349.81/189,421.54
  6. Step 6: Final answer
    x = 171,776.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.