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Finding the Fourth Proportional to 189,661.60, 284,492.40 and 174,455.20

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Solution

The fourth proportional to 189,661.60, 284,492.40 and 174,455.20 is: 261,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,661.60 : 284,492.40 = 174,455.20 : x
  2. Step 2: Convert to fraction form
    189,661.60/284,492.40 = 174,455.20/x
  3. Step 3: Cross multiply
    189,661.60x = 284,492.40 × 174,455.20
  4. Step 4: Simplify right side
    189,661.60x = 49,631,178,540.48
  5. Step 5: Solve for x
    x = 49,631,178,540.48/189,661.60
  6. Step 6: Final answer
    x = 261,682.80

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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.