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Finding the Fourth Proportional to 519,102.58, 778,649.19 and 164,116.72

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Solution

The fourth proportional to 519,102.58, 778,649.19 and 164,116.72 is: 246,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,102.58 : 778,649.19 = 164,116.72 : x
  2. Step 2: Convert to fraction form
    519,102.58/778,649.19 = 164,116.72/x
  3. Step 3: Cross multiply
    519,102.58x = 778,649.19 × 164,116.72
  4. Step 4: Simplify right side
    519,102.58x = 127,789,351,093.46
  5. Step 5: Solve for x
    x = 127,789,351,093.46/519,102.58
  6. Step 6: Final answer
    x = 246,173.60

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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.