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Finding the Fourth Proportional to 238,347.34, 328,942.14 and 136,352.54

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Solution

The fourth proportional to 238,347.34, 328,942.14 and 136,352.54 is: 188,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,347.34 : 328,942.14 = 136,352.54 : x
  2. Step 2: Convert to fraction form
    238,347.34/328,942.14 = 136,352.54/x
  3. Step 3: Cross multiply
    238,347.34x = 328,942.14 × 136,352.54
  4. Step 4: Simplify right side
    238,347.34x = 44,852,096,302.04
  5. Step 5: Solve for x
    x = 44,852,096,302.04/238,347.34
  6. Step 6: Final answer
    x = 188,179.55

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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.