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Finding the Fourth Proportional to 333,137, 459,729.06 and 182,237.24

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Solution

The fourth proportional to 333,137, 459,729.06 and 182,237.24 is: 251,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,137 : 459,729.06 = 182,237.24 : x
  2. Step 2: Convert to fraction form
    333,137/459,729.06 = 182,237.24/x
  3. Step 3: Cross multiply
    333,137x = 459,729.06 × 182,237.24
  4. Step 4: Simplify right side
    333,137x = 83,779,755,042.19
  5. Step 5: Solve for x
    x = 83,779,755,042.19/333,137
  6. Step 6: Final answer
    x = 251,487.39

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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.