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Finding the Fourth Proportional to 189,851.89, 284,778.11 and 77,532.11

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Solution

The fourth proportional to 189,851.89, 284,778.11 and 77,532.11 is: 116,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,851.89 : 284,778.11 = 77,532.11 : x
  2. Step 2: Convert to fraction form
    189,851.89/284,778.11 = 77,532.11/x
  3. Step 3: Cross multiply
    189,851.89x = 284,778.11 × 77,532.11
  4. Step 4: Simplify right side
    189,851.89x = 22,079,447,750.11
  5. Step 5: Solve for x
    x = 22,079,447,750.11/189,851.89
  6. Step 6: Final answer
    x = 116,298.28

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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.