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Finding the Fourth Proportional to 301,977.60, 416,752.32 and 181,123.68

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Solution

The fourth proportional to 301,977.60, 416,752.32 and 181,123.68 is: 249,964.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,977.60 : 416,752.32 = 181,123.68 : x
  2. Step 2: Convert to fraction form
    301,977.60/416,752.32 = 181,123.68/x
  3. Step 3: Cross multiply
    301,977.60x = 416,752.32 × 181,123.68
  4. Step 4: Simplify right side
    301,977.60x = 75,483,713,846.94
  5. Step 5: Solve for x
    x = 75,483,713,846.94/301,977.60
  6. Step 6: Final answer
    x = 249,964.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.