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Finding the Fourth Proportional to 362,166.16, 499,782.18 and 201,023.14

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Solution

The fourth proportional to 362,166.16, 499,782.18 and 201,023.14 is: 277,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,166.16 : 499,782.18 = 201,023.14 : x
  2. Step 2: Convert to fraction form
    362,166.16/499,782.18 = 201,023.14/x
  3. Step 3: Cross multiply
    362,166.16x = 499,782.18 × 201,023.14
  4. Step 4: Simplify right side
    362,166.16x = 100,467,783,139.65
  5. Step 5: Solve for x
    x = 100,467,783,139.65/362,166.16
  6. Step 6: Final answer
    x = 277,407.98

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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.