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Finding the Fourth Proportional to 160,375, 221,062.53 and 126,329.58

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Solution

The fourth proportional to 160,375, 221,062.53 and 126,329.58 is: 174,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,375 : 221,062.53 = 126,329.58 : x
  2. Step 2: Convert to fraction form
    160,375/221,062.53 = 126,329.58/x
  3. Step 3: Cross multiply
    160,375x = 221,062.53 × 126,329.58
  4. Step 4: Simplify right side
    160,375x = 27,926,736,568.64
  5. Step 5: Solve for x
    x = 27,926,736,568.64/160,375
  6. Step 6: Final answer
    x = 174,133.98

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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.