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Finding the Fourth Proportional to 189,766.71, 284,640.30 and 56,648.07

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Solution

The fourth proportional to 189,766.71, 284,640.30 and 56,648.07 is: 84,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,766.71 : 284,640.30 = 56,648.07 : x
  2. Step 2: Convert to fraction form
    189,766.71/284,640.30 = 56,648.07/x
  3. Step 3: Cross multiply
    189,766.71x = 284,640.30 × 56,648.07
  4. Step 4: Simplify right side
    189,766.71x = 16,124,323,639.22
  5. Step 5: Solve for x
    x = 16,124,323,639.22/189,766.71
  6. Step 6: Final answer
    x = 84,969.19

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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.