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Finding the Fourth Proportional to 210,123.12, 315,243 and 116,694.48

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Solution

The fourth proportional to 210,123.12, 315,243 and 116,694.48 is: 175,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,123.12 : 315,243 = 116,694.48 : x
  2. Step 2: Convert to fraction form
    210,123.12/315,243 = 116,694.48/x
  3. Step 3: Cross multiply
    210,123.12x = 315,243 × 116,694.48
  4. Step 4: Simplify right side
    210,123.12x = 36,787,117,958.64
  5. Step 5: Solve for x
    x = 36,787,117,958.64/210,123.12
  6. Step 6: Final answer
    x = 175,074.11

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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.