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Finding the Fourth Proportional to 210,461.80, 315,078.30 and 188,343.40

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Solution

The fourth proportional to 210,461.80, 315,078.30 and 188,343.40 is: 281,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,461.80 : 315,078.30 = 188,343.40 : x
  2. Step 2: Convert to fraction form
    210,461.80/315,078.30 = 188,343.40/x
  3. Step 3: Cross multiply
    210,461.80x = 315,078.30 × 188,343.40
  4. Step 4: Simplify right side
    210,461.80x = 59,342,918,288.22
  5. Step 5: Solve for x
    x = 59,342,918,288.22/210,461.80
  6. Step 6: Final answer
    x = 281,965.27

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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.