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Finding the Fourth Proportional to 241,459.74, 361,967.86 and 83,577.78

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Solution

The fourth proportional to 241,459.74, 361,967.86 and 83,577.78 is: 125,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,459.74 : 361,967.86 = 83,577.78 : x
  2. Step 2: Convert to fraction form
    241,459.74/361,967.86 = 83,577.78/x
  3. Step 3: Cross multiply
    241,459.74x = 361,967.86 × 83,577.78
  4. Step 4: Simplify right side
    241,459.74x = 30,252,470,170.15
  5. Step 5: Solve for x
    x = 30,252,470,170.15/241,459.74
  6. Step 6: Final answer
    x = 125,289.91

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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.