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Finding the Fourth Proportional to 117,084, 161,645.58 and 76,868.13

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Solution

The fourth proportional to 117,084, 161,645.58 and 76,868.13 is: 106,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,084 : 161,645.58 = 76,868.13 : x
  2. Step 2: Convert to fraction form
    117,084/161,645.58 = 76,868.13/x
  3. Step 3: Cross multiply
    117,084x = 161,645.58 × 76,868.13
  4. Step 4: Simplify right side
    117,084x = 12,425,393,457.37
  5. Step 5: Solve for x
    x = 12,425,393,457.37/117,084
  6. Step 6: Final answer
    x = 106,123.75

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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.