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Finding the Fourth Proportional to 341,207.56, 511,592.32 and 141,665.68

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Solution

The fourth proportional to 341,207.56, 511,592.32 and 141,665.68 is: 212,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,207.56 : 511,592.32 = 141,665.68 : x
  2. Step 2: Convert to fraction form
    341,207.56/511,592.32 = 141,665.68/x
  3. Step 3: Cross multiply
    341,207.56x = 511,592.32 × 141,665.68
  4. Step 4: Simplify right side
    341,207.56x = 72,475,073,895.58
  5. Step 5: Solve for x
    x = 72,475,073,895.58/341,207.56
  6. Step 6: Final answer
    x = 212,407.59

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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.