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Finding the Fourth Proportional to 189,558.64, 284,197.51 and 89,602.03

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Solution

The fourth proportional to 189,558.64, 284,197.51 and 89,602.03 is: 134,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,558.64 : 284,197.51 = 89,602.03 : x
  2. Step 2: Convert to fraction form
    189,558.64/284,197.51 = 89,602.03/x
  3. Step 3: Cross multiply
    189,558.64x = 284,197.51 × 89,602.03
  4. Step 4: Simplify right side
    189,558.64x = 25,464,673,816.95
  5. Step 5: Solve for x
    x = 25,464,673,816.95/189,558.64
  6. Step 6: Final answer
    x = 134,336.66

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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.