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Finding the Fourth Proportional to 261,457.82, 392,057.22 and 92,952.91

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Solution

The fourth proportional to 261,457.82, 392,057.22 and 92,952.91 is: 139,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,457.82 : 392,057.22 = 92,952.91 : x
  2. Step 2: Convert to fraction form
    261,457.82/392,057.22 = 92,952.91/x
  3. Step 3: Cross multiply
    261,457.82x = 392,057.22 × 92,952.91
  4. Step 4: Simplify right side
    261,457.82x = 36,442,858,505.37
  5. Step 5: Solve for x
    x = 36,442,858,505.37/261,457.82
  6. Step 6: Final answer
    x = 139,383.32

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Why These Related Problems?

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