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Finding the Fourth Proportional to 206,782.80, 310,231.80 and 101,605.20

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Solution

The fourth proportional to 206,782.80, 310,231.80 and 101,605.20 is: 152,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,782.80 : 310,231.80 = 101,605.20 : x
  2. Step 2: Convert to fraction form
    206,782.80/310,231.80 = 101,605.20/x
  3. Step 3: Cross multiply
    206,782.80x = 310,231.80 × 101,605.20
  4. Step 4: Simplify right side
    206,782.80x = 31,521,164,085.36
  5. Step 5: Solve for x
    x = 31,521,164,085.36/206,782.80
  6. Step 6: Final answer
    x = 152,436.10

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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.