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Finding the Fourth Proportional to 265,259.01, 366,046.23 and 144,397.78

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Solution

The fourth proportional to 265,259.01, 366,046.23 and 144,397.78 is: 199,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,259.01 : 366,046.23 = 144,397.78 : x
  2. Step 2: Convert to fraction form
    265,259.01/366,046.23 = 144,397.78/x
  3. Step 3: Cross multiply
    265,259.01x = 366,046.23 × 144,397.78
  4. Step 4: Simplify right side
    265,259.01x = 52,856,263,543.49
  5. Step 5: Solve for x
    x = 52,856,263,543.49/265,259.01
  6. Step 6: Final answer
    x = 199,262.84

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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.