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Finding the Fourth Proportional to 206,851.76, 310,179.20 and 94,498.72

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Solution

The fourth proportional to 206,851.76, 310,179.20 and 94,498.72 is: 141,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,851.76 : 310,179.20 = 94,498.72 : x
  2. Step 2: Convert to fraction form
    206,851.76/310,179.20 = 94,498.72/x
  3. Step 3: Cross multiply
    206,851.76x = 310,179.20 × 94,498.72
  4. Step 4: Simplify right side
    206,851.76x = 29,311,537,370.62
  5. Step 5: Solve for x
    x = 29,311,537,370.62/206,851.76
  6. Step 6: Final answer
    x = 141,703.11

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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.