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Finding the Fourth Proportional to 118,307.84, 177,409.56 and 44,384

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Solution

The fourth proportional to 118,307.84, 177,409.56 and 44,384 is: 66,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,307.84 : 177,409.56 = 44,384 : x
  2. Step 2: Convert to fraction form
    118,307.84/177,409.56 = 44,384/x
  3. Step 3: Cross multiply
    118,307.84x = 177,409.56 × 44,384
  4. Step 4: Simplify right side
    118,307.84x = 7,874,145,911.04
  5. Step 5: Solve for x
    x = 7,874,145,911.04/118,307.84
  6. Step 6: Final answer
    x = 66,556.42

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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.