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Finding the Fourth Proportional to 306,024.95, 422,312.82 and 168,207.05

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Solution

The fourth proportional to 306,024.95, 422,312.82 and 168,207.05 is: 232,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,024.95 : 422,312.82 = 168,207.05 : x
  2. Step 2: Convert to fraction form
    306,024.95/422,312.82 = 168,207.05/x
  3. Step 3: Cross multiply
    306,024.95x = 422,312.82 × 168,207.05
  4. Step 4: Simplify right side
    306,024.95x = 71,035,991,517.82
  5. Step 5: Solve for x
    x = 71,035,991,517.82/306,024.95
  6. Step 6: Final answer
    x = 232,124.84

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