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Finding the Fourth Proportional to 283,033.38, 390,562.38 and 166,728.36

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Solution

The fourth proportional to 283,033.38, 390,562.38 and 166,728.36 is: 230,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,033.38 : 390,562.38 = 166,728.36 : x
  2. Step 2: Convert to fraction form
    283,033.38/390,562.38 = 166,728.36/x
  3. Step 3: Cross multiply
    283,033.38x = 390,562.38 × 166,728.36
  4. Step 4: Simplify right side
    283,033.38x = 65,117,825,095.10
  5. Step 5: Solve for x
    x = 65,117,825,095.10/283,033.38
  6. Step 6: Final answer
    x = 230,071.18

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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.