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Finding the Fourth Proportional to 116,456, 160,709.28 and 63,464

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Solution

The fourth proportional to 116,456, 160,709.28 and 63,464 is: 87,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,456 : 160,709.28 = 63,464 : x
  2. Step 2: Convert to fraction form
    116,456/160,709.28 = 63,464/x
  3. Step 3: Cross multiply
    116,456x = 160,709.28 × 63,464
  4. Step 4: Simplify right side
    116,456x = 10,199,253,745.92
  5. Step 5: Solve for x
    x = 10,199,253,745.92/116,456
  6. Step 6: Final answer
    x = 87,580.32

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