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Finding the Fourth Proportional to 180,456.66, 248,972.94 and 104,990.58

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Solution

The fourth proportional to 180,456.66, 248,972.94 and 104,990.58 is: 144,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,456.66 : 248,972.94 = 104,990.58 : x
  2. Step 2: Convert to fraction form
    180,456.66/248,972.94 = 104,990.58/x
  3. Step 3: Cross multiply
    180,456.66x = 248,972.94 × 104,990.58
  4. Step 4: Simplify right side
    180,456.66x = 26,139,813,374.91
  5. Step 5: Solve for x
    x = 26,139,813,374.91/180,456.66
  6. Step 6: Final answer
    x = 144,853.69

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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.