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Finding the Fourth Proportional to 175,139.76, 262,706.82 and 118,839.84

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Solution

The fourth proportional to 175,139.76, 262,706.82 and 118,839.84 is: 178,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,139.76 : 262,706.82 = 118,839.84 : x
  2. Step 2: Convert to fraction form
    175,139.76/262,706.82 = 118,839.84/x
  3. Step 3: Cross multiply
    175,139.76x = 262,706.82 × 118,839.84
  4. Step 4: Simplify right side
    175,139.76x = 31,220,036,455.71
  5. Step 5: Solve for x
    x = 31,220,036,455.71/175,139.76
  6. Step 6: Final answer
    x = 178,257.85

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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.