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Finding the Fourth Proportional to 265,686.22, 366,639.64 and 144,829.86

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Solution

The fourth proportional to 265,686.22, 366,639.64 and 144,829.86 is: 199,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,686.22 : 366,639.64 = 144,829.86 : x
  2. Step 2: Convert to fraction form
    265,686.22/366,639.64 = 144,829.86/x
  3. Step 3: Cross multiply
    265,686.22x = 366,639.64 × 144,829.86
  4. Step 4: Simplify right side
    265,686.22x = 53,100,367,731.65
  5. Step 5: Solve for x
    x = 53,100,367,731.65/265,686.22
  6. Step 6: Final answer
    x = 199,861.20

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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.