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Finding the Fourth Proportional to 152,073.96, 209,859.85 and 84,089.43

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Solution

The fourth proportional to 152,073.96, 209,859.85 and 84,089.43 is: 116,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,073.96 : 209,859.85 = 84,089.43 : x
  2. Step 2: Convert to fraction form
    152,073.96/209,859.85 = 84,089.43/x
  3. Step 3: Cross multiply
    152,073.96x = 209,859.85 × 84,089.43
  4. Step 4: Simplify right side
    152,073.96x = 17,646,994,858.13
  5. Step 5: Solve for x
    x = 17,646,994,858.13/152,073.96
  6. Step 6: Final answer
    x = 116,042.19

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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.