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Finding the Fourth Proportional to 282,063.68, 389,247.92 and 154,739.24

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Solution

The fourth proportional to 282,063.68, 389,247.92 and 154,739.24 is: 213,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,063.68 : 389,247.92 = 154,739.24 : x
  2. Step 2: Convert to fraction form
    282,063.68/389,247.92 = 154,739.24/x
  3. Step 3: Cross multiply
    282,063.68x = 389,247.92 × 154,739.24
  4. Step 4: Simplify right side
    282,063.68x = 60,231,927,312.38
  5. Step 5: Solve for x
    x = 60,231,927,312.38/282,063.68
  6. Step 6: Final answer
    x = 213,540.17

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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.