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Finding the Fourth Proportional to 262,071.92, 361,659.24 and 148,894.80

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Solution

The fourth proportional to 262,071.92, 361,659.24 and 148,894.80 is: 205,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,071.92 : 361,659.24 = 148,894.80 : x
  2. Step 2: Convert to fraction form
    262,071.92/361,659.24 = 148,894.80/x
  3. Step 3: Cross multiply
    262,071.92x = 361,659.24 × 148,894.80
  4. Step 4: Simplify right side
    262,071.92x = 53,849,180,207.95
  5. Step 5: Solve for x
    x = 53,849,180,207.95/262,071.92
  6. Step 6: Final answer
    x = 205,474.82

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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.