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Finding the Fourth Proportional to 265,253.58, 366,046.16 and 144,395.86

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Solution

The fourth proportional to 265,253.58, 366,046.16 and 144,395.86 is: 199,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,253.58 : 366,046.16 = 144,395.86 : x
  2. Step 2: Convert to fraction form
    265,253.58/366,046.16 = 144,395.86/x
  3. Step 3: Cross multiply
    265,253.58x = 366,046.16 × 144,395.86
  4. Step 4: Simplify right side
    265,253.58x = 52,855,550,072.90
  5. Step 5: Solve for x
    x = 52,855,550,072.90/265,253.58
  6. Step 6: Final answer
    x = 199,264.23

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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.