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Finding the Fourth Proportional to 243,053.73, 364,334.49 and 116,508.51

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Solution

The fourth proportional to 243,053.73, 364,334.49 and 116,508.51 is: 174,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,053.73 : 364,334.49 = 116,508.51 : x
  2. Step 2: Convert to fraction form
    243,053.73/364,334.49 = 116,508.51/x
  3. Step 3: Cross multiply
    243,053.73x = 364,334.49 × 116,508.51
  4. Step 4: Simplify right side
    243,053.73x = 42,448,068,571.51
  5. Step 5: Solve for x
    x = 42,448,068,571.51/243,053.73
  6. Step 6: Final answer
    x = 174,644.79

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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.