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Finding the Fourth Proportional to 283,298.80, 424,906.08 and 105,783.52

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Solution

The fourth proportional to 283,298.80, 424,906.08 and 105,783.52 is: 158,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,298.80 : 424,906.08 = 105,783.52 : x
  2. Step 2: Convert to fraction form
    283,298.80/424,906.08 = 105,783.52/x
  3. Step 3: Cross multiply
    283,298.80x = 424,906.08 × 105,783.52
  4. Step 4: Simplify right side
    283,298.80x = 44,948,060,811.80
  5. Step 5: Solve for x
    x = 44,948,060,811.80/283,298.80
  6. Step 6: Final answer
    x = 158,659.55

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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.