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Finding the Fourth Proportional to 114,161.72, 171,282.56 and 35,275.94

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Solution

The fourth proportional to 114,161.72, 171,282.56 and 35,275.94 is: 52,926.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,161.72 : 171,282.56 = 35,275.94 : x
  2. Step 2: Convert to fraction form
    114,161.72/171,282.56 = 35,275.94/x
  3. Step 3: Cross multiply
    114,161.72x = 171,282.56 × 35,275.94
  4. Step 4: Simplify right side
    114,161.72x = 6,042,153,309.61
  5. Step 5: Solve for x
    x = 6,042,153,309.61/114,161.72
  6. Step 6: Final answer
    x = 52,926.26

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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.