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Finding the Fourth Proportional to 119,858.85, 165,354.75 and 84,072.24

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Solution

The fourth proportional to 119,858.85, 165,354.75 and 84,072.24 is: 115,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,858.85 : 165,354.75 = 84,072.24 : x
  2. Step 2: Convert to fraction form
    119,858.85/165,354.75 = 84,072.24/x
  3. Step 3: Cross multiply
    119,858.85x = 165,354.75 × 84,072.24
  4. Step 4: Simplify right side
    119,858.85x = 13,901,744,227.14
  5. Step 5: Solve for x
    x = 13,901,744,227.14/119,858.85
  6. Step 6: Final answer
    x = 115,984.30

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1.5x scale

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.