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Finding the Fourth Proportional to 176,721.40, 264,498.90 and 137,063.80

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Solution

The fourth proportional to 176,721.40, 264,498.90 and 137,063.80 is: 205,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,721.40 : 264,498.90 = 137,063.80 : x
  2. Step 2: Convert to fraction form
    176,721.40/264,498.90 = 137,063.80/x
  3. Step 3: Cross multiply
    176,721.40x = 264,498.90 × 137,063.80
  4. Step 4: Simplify right side
    176,721.40x = 36,253,224,329.82
  5. Step 5: Solve for x
    x = 36,253,224,329.82/176,721.40
  6. Step 6: Final answer
    x = 205,143.37

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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.