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Finding the Fourth Proportional to 281,141.14, 387,984.46 and 153,816.73

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Solution

The fourth proportional to 281,141.14, 387,984.46 and 153,816.73 is: 212,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,141.14 : 387,984.46 = 153,816.73 : x
  2. Step 2: Convert to fraction form
    281,141.14/387,984.46 = 153,816.73/x
  3. Step 3: Cross multiply
    281,141.14x = 387,984.46 × 153,816.73
  4. Step 4: Simplify right side
    281,141.14x = 59,678,499,573.51
  5. Step 5: Solve for x
    x = 59,678,499,573.51/281,141.14
  6. Step 6: Final answer
    x = 212,272.38

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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.