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Finding the Fourth Proportional to 206,999.55, 285,689.63 and 116,362.98

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Solution

The fourth proportional to 206,999.55, 285,689.63 and 116,362.98 is: 160,597.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,999.55 : 285,689.63 = 116,362.98 : x
  2. Step 2: Convert to fraction form
    206,999.55/285,689.63 = 116,362.98/x
  3. Step 3: Cross multiply
    206,999.55x = 285,689.63 × 116,362.98
  4. Step 4: Simplify right side
    206,999.55x = 33,243,696,992.80
  5. Step 5: Solve for x
    x = 33,243,696,992.80/206,999.55
  6. Step 6: Final answer
    x = 160,597.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.