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Finding the Fourth Proportional to 108,563.16, 149,823.14 and 60,164.07

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Solution

The fourth proportional to 108,563.16, 149,823.14 and 60,164.07 is: 83,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,563.16 : 149,823.14 = 60,164.07 : x
  2. Step 2: Convert to fraction form
    108,563.16/149,823.14 = 60,164.07/x
  3. Step 3: Cross multiply
    108,563.16x = 149,823.14 × 60,164.07
  4. Step 4: Simplify right side
    108,563.16x = 9,013,970,032.99
  5. Step 5: Solve for x
    x = 9,013,970,032.99/108,563.16
  6. Step 6: Final answer
    x = 83,029.73

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Why These Related Problems?

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