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Finding the Fourth Proportional to 152,770.46, 210,825.50 and 84,791.81

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Solution

The fourth proportional to 152,770.46, 210,825.50 and 84,791.81 is: 117,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,770.46 : 210,825.50 = 84,791.81 : x
  2. Step 2: Convert to fraction form
    152,770.46/210,825.50 = 84,791.81/x
  3. Step 3: Cross multiply
    152,770.46x = 210,825.50 × 84,791.81
  4. Step 4: Simplify right side
    152,770.46x = 17,876,274,261.07
  5. Step 5: Solve for x
    x = 17,876,274,261.07/152,770.46
  6. Step 6: Final answer
    x = 117,013.95

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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.