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Finding the Fourth Proportional to 164,083.72, 246,130.89 and 51,764.98

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Solution

The fourth proportional to 164,083.72, 246,130.89 and 51,764.98 is: 77,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,083.72 : 246,130.89 = 51,764.98 : x
  2. Step 2: Convert to fraction form
    164,083.72/246,130.89 = 51,764.98/x
  3. Step 3: Cross multiply
    164,083.72x = 246,130.89 × 51,764.98
  4. Step 4: Simplify right side
    164,083.72x = 12,740,960,598.23
  5. Step 5: Solve for x
    x = 12,740,960,598.23/164,083.72
  6. Step 6: Final answer
    x = 77,649.15

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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.