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Finding the Fourth Proportional to 306,536.30, 459,799.08 and 137,937.29

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Solution

The fourth proportional to 306,536.30, 459,799.08 and 137,937.29 is: 206,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,536.30 : 459,799.08 = 137,937.29 : x
  2. Step 2: Convert to fraction form
    306,536.30/459,799.08 = 137,937.29/x
  3. Step 3: Cross multiply
    306,536.30x = 459,799.08 × 137,937.29
  4. Step 4: Simplify right side
    306,536.30x = 63,423,439,671.93
  5. Step 5: Solve for x
    x = 63,423,439,671.93/306,536.30
  6. Step 6: Final answer
    x = 206,903.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.