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Finding the Fourth Proportional to 116,535.96, 160,846.20 and 82,509.12

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Solution

The fourth proportional to 116,535.96, 160,846.20 and 82,509.12 is: 113,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,535.96 : 160,846.20 = 82,509.12 : x
  2. Step 2: Convert to fraction form
    116,535.96/160,846.20 = 82,509.12/x
  3. Step 3: Cross multiply
    116,535.96x = 160,846.20 × 82,509.12
  4. Step 4: Simplify right side
    116,535.96x = 13,271,278,417.34
  5. Step 5: Solve for x
    x = 13,271,278,417.34/116,535.96
  6. Step 6: Final answer
    x = 113,881.40

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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.