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Finding the Fourth Proportional to 129,608.81, 194,384.00 and 46,502.81

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Solution

The fourth proportional to 129,608.81, 194,384.00 and 46,502.81 is: 69,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,608.81 : 194,384.00 = 46,502.81 : x
  2. Step 2: Convert to fraction form
    129,608.81/194,384.00 = 46,502.81/x
  3. Step 3: Cross multiply
    129,608.81x = 194,384.00 × 46,502.81
  4. Step 4: Simplify right side
    129,608.81x = 9,039,402,092.32
  5. Step 5: Solve for x
    x = 9,039,402,092.32/129,608.81
  6. Step 6: Final answer
    x = 69,743.73

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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.