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Finding the Fourth Proportional to 114,284.72, 157,709.43 and 63,295.43

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Solution

The fourth proportional to 114,284.72, 157,709.43 and 63,295.43 is: 87,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,284.72 : 157,709.43 = 63,295.43 : x
  2. Step 2: Convert to fraction form
    114,284.72/157,709.43 = 63,295.43/x
  3. Step 3: Cross multiply
    114,284.72x = 157,709.43 × 63,295.43
  4. Step 4: Simplify right side
    114,284.72x = 9,982,285,398.36
  5. Step 5: Solve for x
    x = 9,982,285,398.36/114,284.72
  6. Step 6: Final answer
    x = 87,345.76

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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.