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Finding the Fourth Proportional to 306,643.81, 459,933.34 and 82,026.91

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Solution

The fourth proportional to 306,643.81, 459,933.34 and 82,026.91 is: 123,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,643.81 : 459,933.34 = 82,026.91 : x
  2. Step 2: Convert to fraction form
    306,643.81/459,933.34 = 82,026.91/x
  3. Step 3: Cross multiply
    306,643.81x = 459,933.34 × 82,026.91
  4. Step 4: Simplify right side
    306,643.81x = 37,726,910,686.18
  5. Step 5: Solve for x
    x = 37,726,910,686.18/306,643.81
  6. Step 6: Final answer
    x = 123,031.70

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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.