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Finding the Fourth Proportional to 147,154.34, 220,431.92 and 134,893.46

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Solution

The fourth proportional to 147,154.34, 220,431.92 and 134,893.46 is: 202,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,154.34 : 220,431.92 = 134,893.46 : x
  2. Step 2: Convert to fraction form
    147,154.34/220,431.92 = 134,893.46/x
  3. Step 3: Cross multiply
    147,154.34x = 220,431.92 × 134,893.46
  4. Step 4: Simplify right side
    147,154.34x = 29,734,824,383.24
  5. Step 5: Solve for x
    x = 29,734,824,383.24/147,154.34
  6. Step 6: Final answer
    x = 202,065.56

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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.