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Finding the Fourth Proportional to 176,083.20, 264,124.80 and 51,424.20

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Solution

The fourth proportional to 176,083.20, 264,124.80 and 51,424.20 is: 77,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,083.20 : 264,124.80 = 51,424.20 : x
  2. Step 2: Convert to fraction form
    176,083.20/264,124.80 = 51,424.20/x
  3. Step 3: Cross multiply
    176,083.20x = 264,124.80 × 51,424.20
  4. Step 4: Simplify right side
    176,083.20x = 13,582,406,540.16
  5. Step 5: Solve for x
    x = 13,582,406,540.16/176,083.20
  6. Step 6: Final answer
    x = 77,136.30

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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.