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Finding the Fourth Proportional to 175,497, 263,245.29 and 57,168.15

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Solution

The fourth proportional to 175,497, 263,245.29 and 57,168.15 is: 85,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,497 : 263,245.29 = 57,168.15 : x
  2. Step 2: Convert to fraction form
    175,497/263,245.29 = 57,168.15/x
  3. Step 3: Cross multiply
    175,497x = 263,245.29 × 57,168.15
  4. Step 4: Simplify right side
    175,497x = 15,049,246,225.51
  5. Step 5: Solve for x
    x = 15,049,246,225.51/175,497
  6. Step 6: Final answer
    x = 85,752.16

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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.