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Finding the Fourth Proportional to 265,815.78, 366,825.86 and 144,953.96

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Solution

The fourth proportional to 265,815.78, 366,825.86 and 144,953.96 is: 200,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,815.78 : 366,825.86 = 144,953.96 : x
  2. Step 2: Convert to fraction form
    265,815.78/366,825.86 = 144,953.96/x
  3. Step 3: Cross multiply
    265,815.78x = 366,825.86 × 144,953.96
  4. Step 4: Simplify right side
    265,815.78x = 53,172,858,478.51
  5. Step 5: Solve for x
    x = 53,172,858,478.51/265,815.78
  6. Step 6: Final answer
    x = 200,036.50

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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.