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Finding the Fourth Proportional to 238,313.56, 357,390.97 and 96,122.11

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Solution

The fourth proportional to 238,313.56, 357,390.97 and 96,122.11 is: 144,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,313.56 : 357,390.97 = 96,122.11 : x
  2. Step 2: Convert to fraction form
    238,313.56/357,390.97 = 96,122.11/x
  3. Step 3: Cross multiply
    238,313.56x = 357,390.97 × 96,122.11
  4. Step 4: Simplify right side
    238,313.56x = 34,353,174,131.35
  5. Step 5: Solve for x
    x = 34,353,174,131.35/238,313.56
  6. Step 6: Final answer
    x = 144,151.15

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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.