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Finding the Fourth Proportional to 210,319.63, 315,217 and 105,168.67

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Solution

The fourth proportional to 210,319.63, 315,217 and 105,168.67 is: 157,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,319.63 : 315,217 = 105,168.67 : x
  2. Step 2: Convert to fraction form
    210,319.63/315,217 = 105,168.67/x
  3. Step 3: Cross multiply
    210,319.63x = 315,217 × 105,168.67
  4. Step 4: Simplify right side
    210,319.63x = 33,150,952,651.39
  5. Step 5: Solve for x
    x = 33,150,952,651.39/210,319.63
  6. Step 6: Final answer
    x = 157,621.77

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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.