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Finding the Fourth Proportional to 261,758.08, 392,674.24 and 84,223.84

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Solution

The fourth proportional to 261,758.08, 392,674.24 and 84,223.84 is: 126,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,758.08 : 392,674.24 = 84,223.84 : x
  2. Step 2: Convert to fraction form
    261,758.08/392,674.24 = 84,223.84/x
  3. Step 3: Cross multiply
    261,758.08x = 392,674.24 × 84,223.84
  4. Step 4: Simplify right side
    261,758.08x = 33,072,532,361.88
  5. Step 5: Solve for x
    x = 33,072,532,361.88/261,758.08
  6. Step 6: Final answer
    x = 126,347.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.