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Finding the Fourth Proportional to 519,101.88, 778,647.96 and 164,115.94

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Solution

The fourth proportional to 519,101.88, 778,647.96 and 164,115.94 is: 246,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,101.88 : 778,647.96 = 164,115.94 : x
  2. Step 2: Convert to fraction form
    519,101.88/778,647.96 = 164,115.94/x
  3. Step 3: Cross multiply
    519,101.88x = 778,647.96 × 164,115.94
  4. Step 4: Simplify right side
    519,101.88x = 127,788,537,535.93
  5. Step 5: Solve for x
    x = 127,788,537,535.93/519,101.88
  6. Step 6: Final answer
    x = 246,172.37

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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.