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Finding the Fourth Proportional to 119,893.46, 165,456.99 and 65,448.86

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Solution

The fourth proportional to 119,893.46, 165,456.99 and 65,448.86 is: 90,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,893.46 : 165,456.99 = 65,448.86 : x
  2. Step 2: Convert to fraction form
    119,893.46/165,456.99 = 65,448.86/x
  3. Step 3: Cross multiply
    119,893.46x = 165,456.99 × 65,448.86
  4. Step 4: Simplify right side
    119,893.46x = 10,828,970,547.25
  5. Step 5: Solve for x
    x = 10,828,970,547.25/119,893.46
  6. Step 6: Final answer
    x = 90,321.62

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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.