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Finding the Fourth Proportional to 210,016.30, 315,024.45 and 177,211.30

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Solution

The fourth proportional to 210,016.30, 315,024.45 and 177,211.30 is: 265,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,016.30 : 315,024.45 = 177,211.30 : x
  2. Step 2: Convert to fraction form
    210,016.30/315,024.45 = 177,211.30/x
  3. Step 3: Cross multiply
    210,016.30x = 315,024.45 × 177,211.30
  4. Step 4: Simplify right side
    210,016.30x = 55,825,892,316.29
  5. Step 5: Solve for x
    x = 55,825,892,316.29/210,016.30
  6. Step 6: Final answer
    x = 265,816.95

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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.