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Finding the Fourth Proportional to 255,180.54, 382,826.16 and 77,682.96

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Solution

The fourth proportional to 255,180.54, 382,826.16 and 77,682.96 is: 116,541.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,180.54 : 382,826.16 = 77,682.96 : x
  2. Step 2: Convert to fraction form
    255,180.54/382,826.16 = 77,682.96/x
  3. Step 3: Cross multiply
    255,180.54x = 382,826.16 × 77,682.96
  4. Step 4: Simplify right side
    255,180.54x = 29,739,069,274.23
  5. Step 5: Solve for x
    x = 29,739,069,274.23/255,180.54
  6. Step 6: Final answer
    x = 116,541.29

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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.