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Finding the Fourth Proportional to 177,907.41, 266,819.40 and 51,513.84

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Solution

The fourth proportional to 177,907.41, 266,819.40 and 51,513.84 is: 77,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,907.41 : 266,819.40 = 51,513.84 : x
  2. Step 2: Convert to fraction form
    177,907.41/266,819.40 = 51,513.84/x
  3. Step 3: Cross multiply
    177,907.41x = 266,819.40 × 51,513.84
  4. Step 4: Simplify right side
    177,907.41x = 13,744,891,880.50
  5. Step 5: Solve for x
    x = 13,744,891,880.50/177,907.41
  6. Step 6: Final answer
    x = 77,258.68

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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.