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Finding the Fourth Proportional to 341,031.42, 511,092.65 and 161,164.60

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Solution

The fourth proportional to 341,031.42, 511,092.65 and 161,164.60 is: 241,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,031.42 : 511,092.65 = 161,164.60 : x
  2. Step 2: Convert to fraction form
    341,031.42/511,092.65 = 161,164.60/x
  3. Step 3: Cross multiply
    341,031.42x = 511,092.65 × 161,164.60
  4. Step 4: Simplify right side
    341,031.42x = 82,370,042,500.19
  5. Step 5: Solve for x
    x = 82,370,042,500.19/341,031.42
  6. Step 6: Final answer
    x = 241,532.12

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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.