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Finding the Fourth Proportional to 238,133.84, 357,148.92 and 119,679.44

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Solution

The fourth proportional to 238,133.84, 357,148.92 and 119,679.44 is: 179,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,133.84 : 357,148.92 = 119,679.44 : x
  2. Step 2: Convert to fraction form
    238,133.84/357,148.92 = 119,679.44/x
  3. Step 3: Cross multiply
    238,133.84x = 357,148.92 × 119,679.44
  4. Step 4: Simplify right side
    238,133.84x = 42,743,382,742.20
  5. Step 5: Solve for x
    x = 42,743,382,742.20/238,133.84
  6. Step 6: Final answer
    x = 179,493.11

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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.