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Finding the Fourth Proportional to 180,042.16, 270,059.76 and 53,767.96

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Solution

The fourth proportional to 180,042.16, 270,059.76 and 53,767.96 is: 80,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,042.16 : 270,059.76 = 53,767.96 : x
  2. Step 2: Convert to fraction form
    180,042.16/270,059.76 = 53,767.96/x
  3. Step 3: Cross multiply
    180,042.16x = 270,059.76 × 53,767.96
  4. Step 4: Simplify right side
    180,042.16x = 14,520,562,373.29
  5. Step 5: Solve for x
    x = 14,520,562,373.29/180,042.16
  6. Step 6: Final answer
    x = 80,650.90

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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.