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Finding the Fourth Proportional to 116,454, 160,706.52 and 63,462

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Solution

The fourth proportional to 116,454, 160,706.52 and 63,462 is: 87,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,454 : 160,706.52 = 63,462 : x
  2. Step 2: Convert to fraction form
    116,454/160,706.52 = 63,462/x
  3. Step 3: Cross multiply
    116,454x = 160,706.52 × 63,462
  4. Step 4: Simplify right side
    116,454x = 10,198,757,172.24
  5. Step 5: Solve for x
    x = 10,198,757,172.24/116,454
  6. Step 6: Final answer
    x = 87,577.56

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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.