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Finding the Fourth Proportional to 283,938, 425,814.81 and 94,347.46

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Solution

The fourth proportional to 283,938, 425,814.81 and 94,347.46 is: 141,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,938 : 425,814.81 = 94,347.46 : x
  2. Step 2: Convert to fraction form
    283,938/425,814.81 = 94,347.46/x
  3. Step 3: Cross multiply
    283,938x = 425,814.81 × 94,347.46
  4. Step 4: Simplify right side
    283,938x = 40,174,545,753.88
  5. Step 5: Solve for x
    x = 40,174,545,753.88/283,938
  6. Step 6: Final answer
    x = 141,490.56

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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.