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Finding the Fourth Proportional to 174,284.60, 261,038.10 and 143,180.60

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Solution

The fourth proportional to 174,284.60, 261,038.10 and 143,180.60 is: 214,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,284.60 : 261,038.10 = 143,180.60 : x
  2. Step 2: Convert to fraction form
    174,284.60/261,038.10 = 143,180.60/x
  3. Step 3: Cross multiply
    174,284.60x = 261,038.10 × 143,180.60
  4. Step 4: Simplify right side
    174,284.60x = 37,375,591,780.86
  5. Step 5: Solve for x
    x = 37,375,591,780.86/174,284.60
  6. Step 6: Final answer
    x = 214,451.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.