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Finding the Fourth Proportional to 193,098.29, 266,475.64 and 107,057

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Solution

The fourth proportional to 193,098.29, 266,475.64 and 107,057 is: 147,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,098.29 : 266,475.64 = 107,057 : x
  2. Step 2: Convert to fraction form
    193,098.29/266,475.64 = 107,057/x
  3. Step 3: Cross multiply
    193,098.29x = 266,475.64 × 107,057
  4. Step 4: Simplify right side
    193,098.29x = 28,528,082,591.48
  5. Step 5: Solve for x
    x = 28,528,082,591.48/193,098.29
  6. Step 6: Final answer
    x = 147,738.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.