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Finding the Fourth Proportional to 238,390.81, 357,578.10 and 111,960.34

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Solution

The fourth proportional to 238,390.81, 357,578.10 and 111,960.34 is: 167,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,390.81 : 357,578.10 = 111,960.34 : x
  2. Step 2: Convert to fraction form
    238,390.81/357,578.10 = 111,960.34/x
  3. Step 3: Cross multiply
    238,390.81x = 357,578.10 × 111,960.34
  4. Step 4: Simplify right side
    238,390.81x = 40,034,565,652.55
  5. Step 5: Solve for x
    x = 40,034,565,652.55/238,390.81
  6. Step 6: Final answer
    x = 167,936.70

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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.