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Finding the Fourth Proportional to 305,782.80, 458,674.20 and 81,142.80

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Solution

The fourth proportional to 305,782.80, 458,674.20 and 81,142.80 is: 121,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,782.80 : 458,674.20 = 81,142.80 : x
  2. Step 2: Convert to fraction form
    305,782.80/458,674.20 = 81,142.80/x
  3. Step 3: Cross multiply
    305,782.80x = 458,674.20 × 81,142.80
  4. Step 4: Simplify right side
    305,782.80x = 37,218,108,875.76
  5. Step 5: Solve for x
    x = 37,218,108,875.76/305,782.80
  6. Step 6: Final answer
    x = 121,714.20

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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.