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Finding the Fourth Proportional to 154,953, 213,825.96 and 86,955.66

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Solution

The fourth proportional to 154,953, 213,825.96 and 86,955.66 is: 119,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,953 : 213,825.96 = 86,955.66 : x
  2. Step 2: Convert to fraction form
    154,953/213,825.96 = 86,955.66/x
  3. Step 3: Cross multiply
    154,953x = 213,825.96 × 86,955.66
  4. Step 4: Simplify right side
    154,953x = 18,593,377,476.93
  5. Step 5: Solve for x
    x = 18,593,377,476.93/154,953
  6. Step 6: Final answer
    x = 119,993.66

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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.