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Finding the Fourth Proportional to 116,433, 160,677.54 and 63,441

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Solution

The fourth proportional to 116,433, 160,677.54 and 63,441 is: 87,548.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,433 : 160,677.54 = 63,441 : x
  2. Step 2: Convert to fraction form
    116,433/160,677.54 = 63,441/x
  3. Step 3: Cross multiply
    116,433x = 160,677.54 × 63,441
  4. Step 4: Simplify right side
    116,433x = 10,193,543,815.14
  5. Step 5: Solve for x
    x = 10,193,543,815.14/116,433
  6. Step 6: Final answer
    x = 87,548.58

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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.