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Finding the Fourth Proportional to 208,638.67, 287,926.32 and 126,938.83

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Solution

The fourth proportional to 208,638.67, 287,926.32 and 126,938.83 is: 175,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,638.67 : 287,926.32 = 126,938.83 : x
  2. Step 2: Convert to fraction form
    208,638.67/287,926.32 = 126,938.83/x
  3. Step 3: Cross multiply
    208,638.67x = 287,926.32 × 126,938.83
  4. Step 4: Simplify right side
    208,638.67x = 36,549,030,187.01
  5. Step 5: Solve for x
    x = 36,549,030,187.01/208,638.67
  6. Step 6: Final answer
    x = 175,178.60

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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.