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Finding the Fourth Proportional to 150,284.88, 207,390.60 and 83,215.44

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Solution

The fourth proportional to 150,284.88, 207,390.60 and 83,215.44 is: 114,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,284.88 : 207,390.60 = 83,215.44 : x
  2. Step 2: Convert to fraction form
    150,284.88/207,390.60 = 83,215.44/x
  3. Step 3: Cross multiply
    150,284.88x = 207,390.60 × 83,215.44
  4. Step 4: Simplify right side
    150,284.88x = 17,258,100,030.86
  5. Step 5: Solve for x
    x = 17,258,100,030.86/150,284.88
  6. Step 6: Final answer
    x = 114,835.90

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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.