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Finding the Fourth Proportional to 114,122, 157,488.90 and 63,821

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Solution

The fourth proportional to 114,122, 157,488.90 and 63,821 is: 88,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,122 : 157,488.90 = 63,821 : x
  2. Step 2: Convert to fraction form
    114,122/157,488.90 = 63,821/x
  3. Step 3: Cross multiply
    114,122x = 157,488.90 × 63,821
  4. Step 4: Simplify right side
    114,122x = 10,051,099,086.90
  5. Step 5: Solve for x
    x = 10,051,099,086.90/114,122
  6. Step 6: Final answer
    x = 88,073.28

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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.