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Finding the Fourth Proportional to 181,303.25, 271,929.77 and 48,194.33

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Solution

The fourth proportional to 181,303.25, 271,929.77 and 48,194.33 is: 72,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,303.25 : 271,929.77 = 48,194.33 : x
  2. Step 2: Convert to fraction form
    181,303.25/271,929.77 = 48,194.33/x
  3. Step 3: Cross multiply
    181,303.25x = 271,929.77 × 48,194.33
  4. Step 4: Simplify right side
    181,303.25x = 13,105,473,511.06
  5. Step 5: Solve for x
    x = 13,105,473,511.06/181,303.25
  6. Step 6: Final answer
    x = 72,284.82

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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.