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Finding the Fourth Proportional to 206,744.84, 285,307.88 and 116,100.88

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Solution

The fourth proportional to 206,744.84, 285,307.88 and 116,100.88 is: 160,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,744.84 : 285,307.88 = 116,100.88 : x
  2. Step 2: Convert to fraction form
    206,744.84/285,307.88 = 116,100.88/x
  3. Step 3: Cross multiply
    206,744.84x = 285,307.88 × 116,100.88
  4. Step 4: Simplify right side
    206,744.84x = 33,124,495,938.93
  5. Step 5: Solve for x
    x = 33,124,495,938.93/206,744.84
  6. Step 6: Final answer
    x = 160,219.21

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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.