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Finding the Fourth Proportional to 152,231.58, 210,096 and 88,604.46

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Solution

The fourth proportional to 152,231.58, 210,096 and 88,604.46 is: 122,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,231.58 : 210,096 = 88,604.46 : x
  2. Step 2: Convert to fraction form
    152,231.58/210,096 = 88,604.46/x
  3. Step 3: Cross multiply
    152,231.58x = 210,096 × 88,604.46
  4. Step 4: Simplify right side
    152,231.58x = 18,615,442,628.16
  5. Step 5: Solve for x
    x = 18,615,442,628.16/152,231.58
  6. Step 6: Final answer
    x = 122,283.71

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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.