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Finding the Fourth Proportional to 179,175.74, 268,802.49 and 54,513.50

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Solution

The fourth proportional to 179,175.74, 268,802.49 and 54,513.50 is: 81,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,175.74 : 268,802.49 = 54,513.50 : x
  2. Step 2: Convert to fraction form
    179,175.74/268,802.49 = 54,513.50/x
  3. Step 3: Cross multiply
    179,175.74x = 268,802.49 × 54,513.50
  4. Step 4: Simplify right side
    179,175.74x = 14,653,364,538.62
  5. Step 5: Solve for x
    x = 14,653,364,538.62/179,175.74
  6. Step 6: Final answer
    x = 81,782.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.