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Finding the Fourth Proportional to 172,648.21, 238,237.50 and 96,164.74

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Solution

The fourth proportional to 172,648.21, 238,237.50 and 96,164.74 is: 132,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,648.21 : 238,237.50 = 96,164.74 : x
  2. Step 2: Convert to fraction form
    172,648.21/238,237.50 = 96,164.74/x
  3. Step 3: Cross multiply
    172,648.21x = 238,237.50 × 96,164.74
  4. Step 4: Simplify right side
    172,648.21x = 22,910,047,245.75
  5. Step 5: Solve for x
    x = 22,910,047,245.75/172,648.21
  6. Step 6: Final answer
    x = 132,697.86

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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.