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Finding the Fourth Proportional to 132,783.84, 198,998.37 and 48,464.73

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Solution

The fourth proportional to 132,783.84, 198,998.37 and 48,464.73 is: 72,632.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,783.84 : 198,998.37 = 48,464.73 : x
  2. Step 2: Convert to fraction form
    132,783.84/198,998.37 = 48,464.73/x
  3. Step 3: Cross multiply
    132,783.84x = 198,998.37 × 48,464.73
  4. Step 4: Simplify right side
    132,783.84x = 9,644,402,272.49
  5. Step 5: Solve for x
    x = 9,644,402,272.49/132,783.84
  6. Step 6: Final answer
    x = 72,632.35

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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.