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Finding the Fourth Proportional to 120,783.02, 166,695.95 and 73,036.71

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Solution

The fourth proportional to 120,783.02, 166,695.95 and 73,036.71 is: 100,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783.02 : 166,695.95 = 73,036.71 : x
  2. Step 2: Convert to fraction form
    120,783.02/166,695.95 = 73,036.71/x
  3. Step 3: Cross multiply
    120,783.02x = 166,695.95 × 73,036.71
  4. Step 4: Simplify right side
    120,783.02x = 12,174,924,204.33
  5. Step 5: Solve for x
    x = 12,174,924,204.33/120,783.02
  6. Step 6: Final answer
    x = 100,799.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.