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Finding the Fourth Proportional to 140,959.96, 211,417.43 and 41,096.80

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Solution

The fourth proportional to 140,959.96, 211,417.43 and 41,096.80 is: 61,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,959.96 : 211,417.43 = 41,096.80 : x
  2. Step 2: Convert to fraction form
    140,959.96/211,417.43 = 41,096.80/x
  3. Step 3: Cross multiply
    140,959.96x = 211,417.43 × 41,096.80
  4. Step 4: Simplify right side
    140,959.96x = 8,688,579,896.01
  5. Step 5: Solve for x
    x = 8,688,579,896.01/140,959.96
  6. Step 6: Final answer
    x = 61,638.64

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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.