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Finding the Fourth Proportional to 306,024.45, 422,312.13 and 168,206.55

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Solution

The fourth proportional to 306,024.45, 422,312.13 and 168,206.55 is: 232,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,024.45 : 422,312.13 = 168,206.55 : x
  2. Step 2: Convert to fraction form
    306,024.45/422,312.13 = 168,206.55/x
  3. Step 3: Cross multiply
    306,024.45x = 422,312.13 × 168,206.55
  4. Step 4: Simplify right side
    306,024.45x = 71,035,666,410.45
  5. Step 5: Solve for x
    x = 71,035,666,410.45/306,024.45
  6. Step 6: Final answer
    x = 232,124.15

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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.