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Finding the Fourth Proportional to 241,767.84, 362,719.80 and 84,012.24

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Solution

The fourth proportional to 241,767.84, 362,719.80 and 84,012.24 is: 126,042.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,767.84 : 362,719.80 = 84,012.24 : x
  2. Step 2: Convert to fraction form
    241,767.84/362,719.80 = 84,012.24/x
  3. Step 3: Cross multiply
    241,767.84x = 362,719.80 × 84,012.24
  4. Step 4: Simplify right side
    241,767.84x = 30,472,902,890.35
  5. Step 5: Solve for x
    x = 30,472,902,890.35/241,767.84
  6. Step 6: Final answer
    x = 126,042.00

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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.