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Finding the Fourth Proportional to 114,309.76, 157,743.90 and 63,320.44

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Solution

The fourth proportional to 114,309.76, 157,743.90 and 63,320.44 is: 87,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,309.76 : 157,743.90 = 63,320.44 : x
  2. Step 2: Convert to fraction form
    114,309.76/157,743.90 = 63,320.44/x
  3. Step 3: Cross multiply
    114,309.76x = 157,743.90 × 63,320.44
  4. Step 4: Simplify right side
    114,309.76x = 9,988,413,155.32
  5. Step 5: Solve for x
    x = 9,988,413,155.32/114,309.76
  6. Step 6: Final answer
    x = 87,380.23

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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.