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Finding the Fourth Proportional to 120,995.64, 181,493.64 and 47,123.64

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Solution

The fourth proportional to 120,995.64, 181,493.64 and 47,123.64 is: 70,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,995.64 : 181,493.64 = 47,123.64 : x
  2. Step 2: Convert to fraction form
    120,995.64/181,493.64 = 47,123.64/x
  3. Step 3: Cross multiply
    120,995.64x = 181,493.64 × 47,123.64
  4. Step 4: Simplify right side
    120,995.64x = 8,552,640,953.65
  5. Step 5: Solve for x
    x = 8,552,640,953.65/120,995.64
  6. Step 6: Final answer
    x = 70,685.53

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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.