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Finding the Fourth Proportional to 341,083.66, 511,406.76 and 141,541.78

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Solution

The fourth proportional to 341,083.66, 511,406.76 and 141,541.78 is: 212,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,083.66 : 511,406.76 = 141,541.78 : x
  2. Step 2: Convert to fraction form
    341,083.66/511,406.76 = 141,541.78/x
  3. Step 3: Cross multiply
    341,083.66x = 511,406.76 × 141,541.78
  4. Step 4: Simplify right side
    341,083.66x = 72,385,423,114.43
  5. Step 5: Solve for x
    x = 72,385,423,114.43/341,083.66
  6. Step 6: Final answer
    x = 212,221.90

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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.