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Finding the Fourth Proportional to 137,703.81, 206,533.84 and 53,502.49

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Solution

The fourth proportional to 137,703.81, 206,533.84 and 53,502.49 is: 80,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,703.81 : 206,533.84 = 53,502.49 : x
  2. Step 2: Convert to fraction form
    137,703.81/206,533.84 = 53,502.49/x
  3. Step 3: Cross multiply
    137,703.81x = 206,533.84 × 53,502.49
  4. Step 4: Simplify right side
    137,703.81x = 11,050,074,709.26
  5. Step 5: Solve for x
    x = 11,050,074,709.26/137,703.81
  6. Step 6: Final answer
    x = 80,245.24

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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.