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Finding the Fourth Proportional to 265,637, 366,584.34 and 144,777.80

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Solution

The fourth proportional to 265,637, 366,584.34 and 144,777.80 is: 199,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,637 : 366,584.34 = 144,777.80 : x
  2. Step 2: Convert to fraction form
    265,637/366,584.34 = 144,777.80/x
  3. Step 3: Cross multiply
    265,637x = 366,584.34 × 144,777.80
  4. Step 4: Simplify right side
    265,637x = 53,073,274,259.65
  5. Step 5: Solve for x
    x = 53,073,274,259.65/265,637
  6. Step 6: Final answer
    x = 199,796.24

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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.