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Finding the Fourth Proportional to 316,096.83, 436,242.71 and 188,769.69

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Solution

The fourth proportional to 316,096.83, 436,242.71 and 188,769.69 is: 260,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,096.83 : 436,242.71 = 188,769.69 : x
  2. Step 2: Convert to fraction form
    316,096.83/436,242.71 = 188,769.69/x
  3. Step 3: Cross multiply
    316,096.83x = 436,242.71 × 188,769.69
  4. Step 4: Simplify right side
    316,096.83x = 82,349,401,603.38
  5. Step 5: Solve for x
    x = 82,349,401,603.38/316,096.83
  6. Step 6: Final answer
    x = 260,519.54

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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.