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Finding the Fourth Proportional to 114,042, 157,382.82 and 63,741

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Solution

The fourth proportional to 114,042, 157,382.82 and 63,741 is: 87,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,042 : 157,382.82 = 63,741 : x
  2. Step 2: Convert to fraction form
    114,042/157,382.82 = 63,741/x
  3. Step 3: Cross multiply
    114,042x = 157,382.82 × 63,741
  4. Step 4: Simplify right side
    114,042x = 10,031,738,329.62
  5. Step 5: Solve for x
    x = 10,031,738,329.62/114,042
  6. Step 6: Final answer
    x = 87,965.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.