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Finding the Fourth Proportional to 206,895.82, 310,312.14 and 98,797.54

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Solution

The fourth proportional to 206,895.82, 310,312.14 and 98,797.54 is: 148,181.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,895.82 : 310,312.14 = 98,797.54 : x
  2. Step 2: Convert to fraction form
    206,895.82/310,312.14 = 98,797.54/x
  3. Step 3: Cross multiply
    206,895.82x = 310,312.14 × 98,797.54
  4. Step 4: Simplify right side
    206,895.82x = 30,658,076,064.14
  5. Step 5: Solve for x
    x = 30,658,076,064.14/206,895.82
  6. Step 6: Final answer
    x = 148,181.23

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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.