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Finding the Fourth Proportional to 117,960, 176,969.16 and 34,854

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Solution

The fourth proportional to 117,960, 176,969.16 and 34,854 is: 52,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,960 : 176,969.16 = 34,854 : x
  2. Step 2: Convert to fraction form
    117,960/176,969.16 = 34,854/x
  3. Step 3: Cross multiply
    117,960x = 176,969.16 × 34,854
  4. Step 4: Simplify right side
    117,960x = 6,168,083,102.64
  5. Step 5: Solve for x
    x = 6,168,083,102.64/117,960
  6. Step 6: Final answer
    x = 52,289.62

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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.