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Finding the Fourth Proportional to 311,430.81, 429,774.48 and 168,190.83

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Solution

The fourth proportional to 311,430.81, 429,774.48 and 168,190.83 is: 232,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,430.81 : 429,774.48 = 168,190.83 : x
  2. Step 2: Convert to fraction form
    311,430.81/429,774.48 = 168,190.83/x
  3. Step 3: Cross multiply
    311,430.81x = 429,774.48 × 168,190.83
  4. Step 4: Simplify right side
    311,430.81x = 72,284,126,504.02
  5. Step 5: Solve for x
    x = 72,284,126,504.02/311,430.81
  6. Step 6: Final answer
    x = 232,103.32

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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.