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Finding the Fourth Proportional to 241,459.72, 361,967.84 and 83,577.76

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Solution

The fourth proportional to 241,459.72, 361,967.84 and 83,577.76 is: 125,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,459.72 : 361,967.84 = 83,577.76 : x
  2. Step 2: Convert to fraction form
    241,459.72/361,967.84 = 83,577.76/x
  3. Step 3: Cross multiply
    241,459.72x = 361,967.84 × 83,577.76
  4. Step 4: Simplify right side
    241,459.72x = 30,252,461,259.24
  5. Step 5: Solve for x
    x = 30,252,461,259.24/241,459.72
  6. Step 6: Final answer
    x = 125,289.89

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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.