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Finding the Fourth Proportional to 116,107.74, 160,080.34 and 75,199.59

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Solution

The fourth proportional to 116,107.74, 160,080.34 and 75,199.59 is: 103,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,107.74 : 160,080.34 = 75,199.59 : x
  2. Step 2: Convert to fraction form
    116,107.74/160,080.34 = 75,199.59/x
  3. Step 3: Cross multiply
    116,107.74x = 160,080.34 × 75,199.59
  4. Step 4: Simplify right side
    116,107.74x = 12,037,975,935.06
  5. Step 5: Solve for x
    x = 12,037,975,935.06/116,107.74
  6. Step 6: Final answer
    x = 103,679.36

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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.