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Finding the Fourth Proportional to 164,111.48, 246,208.80 and 45,782.80

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Solution

The fourth proportional to 164,111.48, 246,208.80 and 45,782.80 is: 68,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,111.48 : 246,208.80 = 45,782.80 : x
  2. Step 2: Convert to fraction form
    164,111.48/246,208.80 = 45,782.80/x
  3. Step 3: Cross multiply
    164,111.48x = 246,208.80 × 45,782.80
  4. Step 4: Simplify right side
    164,111.48x = 11,272,128,248.64
  5. Step 5: Solve for x
    x = 11,272,128,248.64/164,111.48
  6. Step 6: Final answer
    x = 68,685.80

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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.