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Finding the Fourth Proportional to 262,170.24, 361,794.72 and 142,938.24

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Solution

The fourth proportional to 262,170.24, 361,794.72 and 142,938.24 is: 197,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,170.24 : 361,794.72 = 142,938.24 : x
  2. Step 2: Convert to fraction form
    262,170.24/361,794.72 = 142,938.24/x
  3. Step 3: Cross multiply
    262,170.24x = 361,794.72 × 142,938.24
  4. Step 4: Simplify right side
    262,170.24x = 51,714,300,518.09
  5. Step 5: Solve for x
    x = 51,714,300,518.09/262,170.24
  6. Step 6: Final answer
    x = 197,254.66

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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.