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Finding the Fourth Proportional to 108,468.54, 162,640.51 and 57,805.19

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Solution

The fourth proportional to 108,468.54, 162,640.51 and 57,805.19 is: 86,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,468.54 : 162,640.51 = 57,805.19 : x
  2. Step 2: Convert to fraction form
    108,468.54/162,640.51 = 57,805.19/x
  3. Step 3: Cross multiply
    108,468.54x = 162,640.51 × 57,805.19
  4. Step 4: Simplify right side
    108,468.54x = 9,401,465,582.25
  5. Step 5: Solve for x
    x = 9,401,465,582.25/108,468.54
  6. Step 6: Final answer
    x = 86,674.58

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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.