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Finding the Fourth Proportional to 261,649.38, 361,046.34 and 146,912.67

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Solution

The fourth proportional to 261,649.38, 361,046.34 and 146,912.67 is: 202,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,649.38 : 361,046.34 = 146,912.67 : x
  2. Step 2: Convert to fraction form
    261,649.38/361,046.34 = 146,912.67/x
  3. Step 3: Cross multiply
    261,649.38x = 361,046.34 × 146,912.67
  4. Step 4: Simplify right side
    261,649.38x = 53,042,281,803.13
  5. Step 5: Solve for x
    x = 53,042,281,803.13/261,649.38
  6. Step 6: Final answer
    x = 202,722.75

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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.