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Finding the Fourth Proportional to 204,864.64, 308,384.20 and 146,106.88

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Solution

The fourth proportional to 204,864.64, 308,384.20 and 146,106.88 is: 219,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,864.64 : 308,384.20 = 146,106.88 : x
  2. Step 2: Convert to fraction form
    204,864.64/308,384.20 = 146,106.88/x
  3. Step 3: Cross multiply
    204,864.64x = 308,384.20 × 146,106.88
  4. Step 4: Simplify right side
    204,864.64x = 45,057,053,303.30
  5. Step 5: Solve for x
    x = 45,057,053,303.30/204,864.64
  6. Step 6: Final answer
    x = 219,935.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.