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Finding the Fourth Proportional to 265,995.30, 399,252.15 and 133,025.70

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Solution

The fourth proportional to 265,995.30, 399,252.15 and 133,025.70 is: 199,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,995.30 : 399,252.15 = 133,025.70 : x
  2. Step 2: Convert to fraction form
    265,995.30/399,252.15 = 133,025.70/x
  3. Step 3: Cross multiply
    265,995.30x = 399,252.15 × 133,025.70
  4. Step 4: Simplify right side
    265,995.30x = 53,110,796,730.26
  5. Step 5: Solve for x
    x = 53,110,796,730.26/265,995.30
  6. Step 6: Final answer
    x = 199,668.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.