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Finding the Fourth Proportional to 169,401.69, 254,126 and 57,114.05

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Solution

The fourth proportional to 169,401.69, 254,126 and 57,114.05 is: 85,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,401.69 : 254,126 = 57,114.05 : x
  2. Step 2: Convert to fraction form
    169,401.69/254,126 = 57,114.05/x
  3. Step 3: Cross multiply
    169,401.69x = 254,126 × 57,114.05
  4. Step 4: Simplify right side
    169,401.69x = 14,514,165,070.30
  5. Step 5: Solve for x
    x = 14,514,165,070.30/169,401.69
  6. Step 6: Final answer
    x = 85,678.99

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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.