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Finding the Fourth Proportional to 265,682.70, 366,639.75 and 144,823.95

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Solution

The fourth proportional to 265,682.70, 366,639.75 and 144,823.95 is: 199,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,682.70 : 366,639.75 = 144,823.95 : x
  2. Step 2: Convert to fraction form
    265,682.70/366,639.75 = 144,823.95/x
  3. Step 3: Cross multiply
    265,682.70x = 366,639.75 × 144,823.95
  4. Step 4: Simplify right side
    265,682.70x = 53,098,216,822.01
  5. Step 5: Solve for x
    x = 53,098,216,822.01/265,682.70
  6. Step 6: Final answer
    x = 199,855.76

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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.