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Finding the Fourth Proportional to 337,048.24, 465,123.72 and 186,142

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Solution

The fourth proportional to 337,048.24, 465,123.72 and 186,142 is: 256,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,048.24 : 465,123.72 = 186,142 : x
  2. Step 2: Convert to fraction form
    337,048.24/465,123.72 = 186,142/x
  3. Step 3: Cross multiply
    337,048.24x = 465,123.72 × 186,142
  4. Step 4: Simplify right side
    337,048.24x = 86,579,059,488.24
  5. Step 5: Solve for x
    x = 86,579,059,488.24/337,048.24
  6. Step 6: Final answer
    x = 256,874.39

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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.