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Finding the Fourth Proportional to 209,569.05, 312,832.05 and 193,957.11

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Solution

The fourth proportional to 209,569.05, 312,832.05 and 193,957.11 is: 289,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,569.05 : 312,832.05 = 193,957.11 : x
  2. Step 2: Convert to fraction form
    209,569.05/312,832.05 = 193,957.11/x
  3. Step 3: Cross multiply
    209,569.05x = 312,832.05 × 193,957.11
  4. Step 4: Simplify right side
    209,569.05x = 60,676,000,333.38
  5. Step 5: Solve for x
    x = 60,676,000,333.38/209,569.05
  6. Step 6: Final answer
    x = 289,527.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.