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Finding the Fourth Proportional to 189,938.74, 284,950.23 and 71,611.11

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Solution

The fourth proportional to 189,938.74, 284,950.23 and 71,611.11 is: 107,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,938.74 : 284,950.23 = 71,611.11 : x
  2. Step 2: Convert to fraction form
    189,938.74/284,950.23 = 71,611.11/x
  3. Step 3: Cross multiply
    189,938.74x = 284,950.23 × 71,611.11
  4. Step 4: Simplify right side
    189,938.74x = 20,405,602,265.06
  5. Step 5: Solve for x
    x = 20,405,602,265.06/189,938.74
  6. Step 6: Final answer
    x = 107,432.55

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Why These Related Problems?

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