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Finding the Fourth Proportional to 173,032.10, 259,742.55 and 133,763.30

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Solution

The fourth proportional to 173,032.10, 259,742.55 and 133,763.30 is: 200,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,032.10 : 259,742.55 = 133,763.30 : x
  2. Step 2: Convert to fraction form
    173,032.10/259,742.55 = 133,763.30/x
  3. Step 3: Cross multiply
    173,032.10x = 259,742.55 × 133,763.30
  4. Step 4: Simplify right side
    173,032.10x = 34,744,020,638.42
  5. Step 5: Solve for x
    x = 34,744,020,638.42/173,032.10
  6. Step 6: Final answer
    x = 200,795.23

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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.