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Finding the Fourth Proportional to 316,174.68, 474,262.02 and 129,186

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Solution

The fourth proportional to 316,174.68, 474,262.02 and 129,186 is: 193,779

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,174.68 : 474,262.02 = 129,186 : x
  2. Step 2: Convert to fraction form
    316,174.68/474,262.02 = 129,186/x
  3. Step 3: Cross multiply
    316,174.68x = 474,262.02 × 129,186
  4. Step 4: Simplify right side
    316,174.68x = 61,268,013,315.72
  5. Step 5: Solve for x
    x = 61,268,013,315.72/316,174.68
  6. Step 6: Final answer
    x = 193,779

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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.