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Finding the Fourth Proportional to 176,083.80, 264,125.70 and 51,424.80

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Solution

The fourth proportional to 176,083.80, 264,125.70 and 51,424.80 is: 77,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,083.80 : 264,125.70 = 51,424.80 : x
  2. Step 2: Convert to fraction form
    176,083.80/264,125.70 = 51,424.80/x
  3. Step 3: Cross multiply
    176,083.80x = 264,125.70 × 51,424.80
  4. Step 4: Simplify right side
    176,083.80x = 13,582,611,297.36
  5. Step 5: Solve for x
    x = 13,582,611,297.36/176,083.80
  6. Step 6: Final answer
    x = 77,137.20

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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.