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Finding the Fourth Proportional to 116,384.84, 160,606.56 and 71,138.58

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Solution

The fourth proportional to 116,384.84, 160,606.56 and 71,138.58 is: 98,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,384.84 : 160,606.56 = 71,138.58 : x
  2. Step 2: Convert to fraction form
    116,384.84/160,606.56 = 71,138.58/x
  3. Step 3: Cross multiply
    116,384.84x = 160,606.56 × 71,138.58
  4. Step 4: Simplify right side
    116,384.84x = 11,425,322,617.08
  5. Step 5: Solve for x
    x = 11,425,322,617.08/116,384.84
  6. Step 6: Final answer
    x = 98,168.48

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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.