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Finding the Fourth Proportional to 156,820.48, 216,411.09 and 85,201.09

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Solution

The fourth proportional to 156,820.48, 216,411.09 and 85,201.09 is: 117,576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,820.48 : 216,411.09 = 85,201.09 : x
  2. Step 2: Convert to fraction form
    156,820.48/216,411.09 = 85,201.09/x
  3. Step 3: Cross multiply
    156,820.48x = 216,411.09 × 85,201.09
  4. Step 4: Simplify right side
    156,820.48x = 18,438,460,756.09
  5. Step 5: Solve for x
    x = 18,438,460,756.09/156,820.48
  6. Step 6: Final answer
    x = 117,576.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.