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Finding the Fourth Proportional to 265,257, 366,057.76 and 144,400.40

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Solution

The fourth proportional to 265,257, 366,057.76 and 144,400.40 is: 199,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,257 : 366,057.76 = 144,400.40 : x
  2. Step 2: Convert to fraction form
    265,257/366,057.76 = 144,400.40/x
  3. Step 3: Cross multiply
    265,257x = 366,057.76 × 144,400.40
  4. Step 4: Simplify right side
    265,257x = 52,858,886,967.10
  5. Step 5: Solve for x
    x = 52,858,886,967.10/265,257
  6. Step 6: Final answer
    x = 199,274.24

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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.