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Finding the Fourth Proportional to 206,473.60, 310,401.60 and 176,060.80

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Solution

The fourth proportional to 206,473.60, 310,401.60 and 176,060.80 is: 264,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,473.60 : 310,401.60 = 176,060.80 : x
  2. Step 2: Convert to fraction form
    206,473.60/310,401.60 = 176,060.80/x
  3. Step 3: Cross multiply
    206,473.60x = 310,401.60 × 176,060.80
  4. Step 4: Simplify right side
    206,473.60x = 54,649,554,017.28
  5. Step 5: Solve for x
    x = 54,649,554,017.28/206,473.60
  6. Step 6: Final answer
    x = 264,680.59

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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.