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Finding the Fourth Proportional to 172,902.10, 259,547.55 and 133,633.30

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Solution

The fourth proportional to 172,902.10, 259,547.55 and 133,633.30 is: 200,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,902.10 : 259,547.55 = 133,633.30 : x
  2. Step 2: Convert to fraction form
    172,902.10/259,547.55 = 133,633.30/x
  3. Step 3: Cross multiply
    172,902.10x = 259,547.55 × 133,633.30
  4. Step 4: Simplify right side
    172,902.10x = 34,684,195,613.42
  5. Step 5: Solve for x
    x = 34,684,195,613.42/172,902.10
  6. Step 6: Final answer
    x = 200,600.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.