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Finding the Fourth Proportional to 208,765.71, 288,088.94 and 113,270.36

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Solution

The fourth proportional to 208,765.71, 288,088.94 and 113,270.36 is: 156,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,765.71 : 288,088.94 = 113,270.36 : x
  2. Step 2: Convert to fraction form
    208,765.71/288,088.94 = 113,270.36/x
  3. Step 3: Cross multiply
    208,765.71x = 288,088.94 × 113,270.36
  4. Step 4: Simplify right side
    208,765.71x = 32,631,936,788.55
  5. Step 5: Solve for x
    x = 32,631,936,788.55/208,765.71
  6. Step 6: Final answer
    x = 156,308.89

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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.