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Finding the Fourth Proportional to 316,090.14, 474,082.29 and 105,727.38

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Solution

The fourth proportional to 316,090.14, 474,082.29 and 105,727.38 is: 158,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,090.14 : 474,082.29 = 105,727.38 : x
  2. Step 2: Convert to fraction form
    316,090.14/474,082.29 = 105,727.38/x
  3. Step 3: Cross multiply
    316,090.14x = 474,082.29 × 105,727.38
  4. Step 4: Simplify right side
    316,090.14x = 50,123,478,426.10
  5. Step 5: Solve for x
    x = 50,123,478,426.10/316,090.14
  6. Step 6: Final answer
    x = 158,573.37

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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.