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Finding the Fourth Proportional to 206,000.56, 308,966.28 and 58,222

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Solution

The fourth proportional to 206,000.56, 308,966.28 and 58,222 is: 87,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,000.56 : 308,966.28 = 58,222 : x
  2. Step 2: Convert to fraction form
    206,000.56/308,966.28 = 58,222/x
  3. Step 3: Cross multiply
    206,000.56x = 308,966.28 × 58,222
  4. Step 4: Simplify right side
    206,000.56x = 17,988,634,754.16
  5. Step 5: Solve for x
    x = 17,988,634,754.16/206,000.56
  6. Step 6: Final answer
    x = 87,323.23

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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.