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Finding the Fourth Proportional to 140,755.23, 211,016.48 and 65,838.51

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Solution

The fourth proportional to 140,755.23, 211,016.48 and 65,838.51 is: 98,703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,755.23 : 211,016.48 = 65,838.51 : x
  2. Step 2: Convert to fraction form
    140,755.23/211,016.48 = 65,838.51/x
  3. Step 3: Cross multiply
    140,755.23x = 211,016.48 × 65,838.51
  4. Step 4: Simplify right side
    140,755.23x = 13,893,010,299.45
  5. Step 5: Solve for x
    x = 13,893,010,299.45/140,755.23
  6. Step 6: Final answer
    x = 98,703.33

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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.