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Finding the Fourth Proportional to 117,888, 176,864.40 and 34,782

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Solution

The fourth proportional to 117,888, 176,864.40 and 34,782 is: 52,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,888 : 176,864.40 = 34,782 : x
  2. Step 2: Convert to fraction form
    117,888/176,864.40 = 34,782/x
  3. Step 3: Cross multiply
    117,888x = 176,864.40 × 34,782
  4. Step 4: Simplify right side
    117,888x = 6,151,697,560.80
  5. Step 5: Solve for x
    x = 6,151,697,560.80/117,888
  6. Step 6: Final answer
    x = 52,182.56

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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.