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Finding the Fourth Proportional to 287,996.48, 432,187.41 and 119,516.82

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Solution

The fourth proportional to 287,996.48, 432,187.41 and 119,516.82 is: 179,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,996.48 : 432,187.41 = 119,516.82 : x
  2. Step 2: Convert to fraction form
    287,996.48/432,187.41 = 119,516.82/x
  3. Step 3: Cross multiply
    287,996.48x = 432,187.41 × 119,516.82
  4. Step 4: Simplify right side
    287,996.48x = 51,653,663,714.72
  5. Step 5: Solve for x
    x = 51,653,663,714.72/287,996.48
  6. Step 6: Final answer
    x = 179,355.19

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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.