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Finding the Fourth Proportional to 259,504.97, 358,119.43 and 144,782.64

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Solution

The fourth proportional to 259,504.97, 358,119.43 and 144,782.64 is: 199,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,504.97 : 358,119.43 = 144,782.64 : x
  2. Step 2: Convert to fraction form
    259,504.97/358,119.43 = 144,782.64/x
  3. Step 3: Cross multiply
    259,504.97x = 358,119.43 × 144,782.64
  4. Step 4: Simplify right side
    259,504.97x = 51,849,476,148.74
  5. Step 5: Solve for x
    x = 51,849,476,148.74/259,504.97
  6. Step 6: Final answer
    x = 199,801.48

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1.5x scale

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.