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Finding the Fourth Proportional to 189,858.43, 284,734.92 and 56,707.12

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Solution

The fourth proportional to 189,858.43, 284,734.92 and 56,707.12 is: 85,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,858.43 : 284,734.92 = 56,707.12 : x
  2. Step 2: Convert to fraction form
    189,858.43/284,734.92 = 56,707.12/x
  3. Step 3: Cross multiply
    189,858.43x = 284,734.92 × 56,707.12
  4. Step 4: Simplify right side
    189,858.43x = 16,146,495,852.96
  5. Step 5: Solve for x
    x = 16,146,495,852.96/189,858.43
  6. Step 6: Final answer
    x = 85,044.93

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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.