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Finding the Fourth Proportional to 116,202.56, 160,273.58 and 75,376.74

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Solution

The fourth proportional to 116,202.56, 160,273.58 and 75,376.74 is: 103,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,202.56 : 160,273.58 = 75,376.74 : x
  2. Step 2: Convert to fraction form
    116,202.56/160,273.58 = 75,376.74/x
  3. Step 3: Cross multiply
    116,202.56x = 160,273.58 × 75,376.74
  4. Step 4: Simplify right side
    116,202.56x = 12,080,899,968.53
  5. Step 5: Solve for x
    x = 12,080,899,968.53/116,202.56
  6. Step 6: Final answer
    x = 103,964.15

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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.