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Finding the Fourth Proportional to 401,159.34, 601,829.82 and 134,912.54

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Solution

The fourth proportional to 401,159.34, 601,829.82 and 134,912.54 is: 202,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,159.34 : 601,829.82 = 134,912.54 : x
  2. Step 2: Convert to fraction form
    401,159.34/601,829.82 = 134,912.54/x
  3. Step 3: Cross multiply
    401,159.34x = 601,829.82 × 134,912.54
  4. Step 4: Simplify right side
    401,159.34x = 81,194,386,654.79
  5. Step 5: Solve for x
    x = 81,194,386,654.79/401,159.34
  6. Step 6: Final answer
    x = 202,399.34

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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.