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Finding the Fourth Proportional to 262,033.42, 361,569.64 and 147,295.84

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Solution

The fourth proportional to 262,033.42, 361,569.64 and 147,295.84 is: 203,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,033.42 : 361,569.64 = 147,295.84 : x
  2. Step 2: Convert to fraction form
    262,033.42/361,569.64 = 147,295.84/x
  3. Step 3: Cross multiply
    262,033.42x = 361,569.64 × 147,295.84
  4. Step 4: Simplify right side
    262,033.42x = 53,257,703,842.30
  5. Step 5: Solve for x
    x = 53,257,703,842.30/262,033.42
  6. Step 6: Final answer
    x = 203,247.75

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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.