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Finding the Fourth Proportional to 265,790.67, 366,784.50 and 144,934.31

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Solution

The fourth proportional to 265,790.67, 366,784.50 and 144,934.31 is: 200,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,790.67 : 366,784.50 = 144,934.31 : x
  2. Step 2: Convert to fraction form
    265,790.67/366,784.50 = 144,934.31/x
  3. Step 3: Cross multiply
    265,790.67x = 366,784.50 × 144,934.31
  4. Step 4: Simplify right side
    265,790.67x = 53,159,659,886.66
  5. Step 5: Solve for x
    x = 53,159,659,886.66/265,790.67
  6. Step 6: Final answer
    x = 200,005.74

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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.