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Finding the Fourth Proportional to 238,263.81, 357,316.37 and 96,072.33

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Solution

The fourth proportional to 238,263.81, 357,316.37 and 96,072.33 is: 144,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,263.81 : 357,316.37 = 96,072.33 : x
  2. Step 2: Convert to fraction form
    238,263.81/357,316.37 = 96,072.33/x
  3. Step 3: Cross multiply
    238,263.81x = 357,316.37 × 96,072.33
  4. Step 4: Simplify right side
    238,263.81x = 34,328,215,732.68
  5. Step 5: Solve for x
    x = 34,328,215,732.68/238,263.81
  6. Step 6: Final answer
    x = 144,076.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.