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Finding the Fourth Proportional to 152,229.34, 210,076.89 and 84,251

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Solution

The fourth proportional to 152,229.34, 210,076.89 and 84,251 is: 116,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,229.34 : 210,076.89 = 84,251 : x
  2. Step 2: Convert to fraction form
    152,229.34/210,076.89 = 84,251/x
  3. Step 3: Cross multiply
    152,229.34x = 210,076.89 × 84,251
  4. Step 4: Simplify right side
    152,229.34x = 17,699,188,059.39
  5. Step 5: Solve for x
    x = 17,699,188,059.39/152,229.34
  6. Step 6: Final answer
    x = 116,266.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.