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Finding the Fourth Proportional to 265,814.28, 366,823.78 and 144,952.45

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Solution

The fourth proportional to 265,814.28, 366,823.78 and 144,952.45 is: 200,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,814.28 : 366,823.78 = 144,952.45 : x
  2. Step 2: Convert to fraction form
    265,814.28/366,823.78 = 144,952.45/x
  3. Step 3: Cross multiply
    265,814.28x = 366,823.78 × 144,952.45
  4. Step 4: Simplify right side
    265,814.28x = 53,172,004,349.82
  5. Step 5: Solve for x
    x = 53,172,004,349.82/265,814.28
  6. Step 6: Final answer
    x = 200,034.42

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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.