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Finding the Fourth Proportional to 189,951.57, 285,025.76 and 96,457.32

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Solution

The fourth proportional to 189,951.57, 285,025.76 and 96,457.32 is: 144,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,951.57 : 285,025.76 = 96,457.32 : x
  2. Step 2: Convert to fraction form
    189,951.57/285,025.76 = 96,457.32/x
  3. Step 3: Cross multiply
    189,951.57x = 285,025.76 × 96,457.32
  4. Step 4: Simplify right side
    189,951.57x = 27,492,820,458.28
  5. Step 5: Solve for x
    x = 27,492,820,458.28/189,951.57
  6. Step 6: Final answer
    x = 144,735.95

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1.5x scale

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.