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Finding the Fourth Proportional to 265,815.28, 366,825.16 and 144,953.45

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Solution

The fourth proportional to 265,815.28, 366,825.16 and 144,953.45 is: 200,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,815.28 : 366,825.16 = 144,953.45 : x
  2. Step 2: Convert to fraction form
    265,815.28/366,825.16 = 144,953.45/x
  3. Step 3: Cross multiply
    265,815.28x = 366,825.16 × 144,953.45
  4. Step 4: Simplify right side
    265,815.28x = 53,172,572,488.80
  5. Step 5: Solve for x
    x = 53,172,572,488.80/265,815.28
  6. Step 6: Final answer
    x = 200,035.80

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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.