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Finding the Fourth Proportional to 152,991.33, 211,060.09 and 101,954.34

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Solution

The fourth proportional to 152,991.33, 211,060.09 and 101,954.34 is: 140,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,991.33 : 211,060.09 = 101,954.34 : x
  2. Step 2: Convert to fraction form
    152,991.33/211,060.09 = 101,954.34/x
  3. Step 3: Cross multiply
    152,991.33x = 211,060.09 × 101,954.34
  4. Step 4: Simplify right side
    152,991.33x = 21,518,492,176.29
  5. Step 5: Solve for x
    x = 21,518,492,176.29/152,991.33
  6. Step 6: Final answer
    x = 140,651.71

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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.