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Finding the Fourth Proportional to 189,880.56, 284,817.72 and 77,536.08

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Solution

The fourth proportional to 189,880.56, 284,817.72 and 77,536.08 is: 116,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,880.56 : 284,817.72 = 77,536.08 : x
  2. Step 2: Convert to fraction form
    189,880.56/284,817.72 = 77,536.08/x
  3. Step 3: Cross multiply
    189,880.56x = 284,817.72 × 77,536.08
  4. Step 4: Simplify right side
    189,880.56x = 22,083,649,523.34
  5. Step 5: Solve for x
    x = 22,083,649,523.34/189,880.56
  6. Step 6: Final answer
    x = 116,302.85

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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.