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Finding the Fourth Proportional to 264,731.90, 365,193.16 and 163,954.94

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Solution

The fourth proportional to 264,731.90, 365,193.16 and 163,954.94 is: 226,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,731.90 : 365,193.16 = 163,954.94 : x
  2. Step 2: Convert to fraction form
    264,731.90/365,193.16 = 163,954.94/x
  3. Step 3: Cross multiply
    264,731.90x = 365,193.16 × 163,954.94
  4. Step 4: Simplify right side
    264,731.90x = 59,875,220,400.36
  5. Step 5: Solve for x
    x = 59,875,220,400.36/264,731.90
  6. Step 6: Final answer
    x = 226,173.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.