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Finding the Fourth Proportional to 271,527.16, 407,159.22 and 159,244.16

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Solution

The fourth proportional to 271,527.16, 407,159.22 and 159,244.16 is: 238,789.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,527.16 : 407,159.22 = 159,244.16 : x
  2. Step 2: Convert to fraction form
    271,527.16/407,159.22 = 159,244.16/x
  3. Step 3: Cross multiply
    271,527.16x = 407,159.22 × 159,244.16
  4. Step 4: Simplify right side
    271,527.16x = 64,837,727,975.16
  5. Step 5: Solve for x
    x = 64,837,727,975.16/271,527.16
  6. Step 6: Final answer
    x = 238,789.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.