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Finding the Fourth Proportional to 114,829, 158,469.28 and 63,846.90

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Solution

The fourth proportional to 114,829, 158,469.28 and 63,846.90 is: 88,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,829 : 158,469.28 = 63,846.90 : x
  2. Step 2: Convert to fraction form
    114,829/158,469.28 = 63,846.90/x
  3. Step 3: Cross multiply
    114,829x = 158,469.28 × 63,846.90
  4. Step 4: Simplify right side
    114,829x = 10,117,772,273.23
  5. Step 5: Solve for x
    x = 10,117,772,273.23/114,829
  6. Step 6: Final answer
    x = 88,111.65

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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.