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Finding the Fourth Proportional to 117,696.56, 176,489.38 and 42,764

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Solution

The fourth proportional to 117,696.56, 176,489.38 and 42,764 is: 64,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,696.56 : 176,489.38 = 42,764 : x
  2. Step 2: Convert to fraction form
    117,696.56/176,489.38 = 42,764/x
  3. Step 3: Cross multiply
    117,696.56x = 176,489.38 × 42,764
  4. Step 4: Simplify right side
    117,696.56x = 7,547,391,846.32
  5. Step 5: Solve for x
    x = 7,547,391,846.32/117,696.56
  6. Step 6: Final answer
    x = 64,125.85

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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.