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Finding the Fourth Proportional to 492,107.84, 738,161.82 and 118,130.84

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Solution

The fourth proportional to 492,107.84, 738,161.82 and 118,130.84 is: 177,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,107.84 : 738,161.82 = 118,130.84 : x
  2. Step 2: Convert to fraction form
    492,107.84/738,161.82 = 118,130.84/x
  3. Step 3: Cross multiply
    492,107.84x = 738,161.82 × 118,130.84
  4. Step 4: Simplify right side
    492,107.84x = 87,199,675,852.53
  5. Step 5: Solve for x
    x = 87,199,675,852.53/492,107.84
  6. Step 6: Final answer
    x = 177,196.27

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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.