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Finding the Fourth Proportional to 262,205.78, 361,871.76 and 160,290.91

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Solution

The fourth proportional to 262,205.78, 361,871.76 and 160,290.91 is: 221,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,205.78 : 361,871.76 = 160,290.91 : x
  2. Step 2: Convert to fraction form
    262,205.78/361,871.76 = 160,290.91/x
  3. Step 3: Cross multiply
    262,205.78x = 361,871.76 × 160,290.91
  4. Step 4: Simplify right side
    262,205.78x = 58,004,752,809.02
  5. Step 5: Solve for x
    x = 58,004,752,809.02/262,205.78
  6. Step 6: Final answer
    x = 221,218.43

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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.