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Finding the Fourth Proportional to 180,032.63, 270,062.87 and 53,663.20

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Solution

The fourth proportional to 180,032.63, 270,062.87 and 53,663.20 is: 80,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,032.63 : 270,062.87 = 53,663.20 : x
  2. Step 2: Convert to fraction form
    180,032.63/270,062.87 = 53,663.20/x
  3. Step 3: Cross multiply
    180,032.63x = 270,062.87 × 53,663.20
  4. Step 4: Simplify right side
    180,032.63x = 14,492,436,861.91
  5. Step 5: Solve for x
    x = 14,492,436,861.91/180,032.63
  6. Step 6: Final answer
    x = 80,498.95

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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.