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Finding the Fourth Proportional to 116,107.17, 160,079.57 and 75,199.02

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Solution

The fourth proportional to 116,107.17, 160,079.57 and 75,199.02 is: 103,678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,107.17 : 160,079.57 = 75,199.02 : x
  2. Step 2: Convert to fraction form
    116,107.17/160,079.57 = 75,199.02/x
  3. Step 3: Cross multiply
    116,107.17x = 160,079.57 × 75,199.02
  4. Step 4: Simplify right side
    116,107.17x = 12,037,826,786.02
  5. Step 5: Solve for x
    x = 12,037,826,786.02/116,107.17
  6. Step 6: Final answer
    x = 103,678.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.