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Finding the Fourth Proportional to 118,166.84, 177,198.40 and 44,243

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Solution

The fourth proportional to 118,166.84, 177,198.40 and 44,243 is: 66,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,166.84 : 177,198.40 = 44,243 : x
  2. Step 2: Convert to fraction form
    118,166.84/177,198.40 = 44,243/x
  3. Step 3: Cross multiply
    118,166.84x = 177,198.40 × 44,243
  4. Step 4: Simplify right side
    118,166.84x = 7,839,788,811.20
  5. Step 5: Solve for x
    x = 7,839,788,811.20/118,166.84
  6. Step 6: Final answer
    x = 66,345.08

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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.