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Finding the Fourth Proportional to 116,487, 160,765.02 and 71,775

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Solution

The fourth proportional to 116,487, 160,765.02 and 71,775 is: 99,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,487 : 160,765.02 = 71,775 : x
  2. Step 2: Convert to fraction form
    116,487/160,765.02 = 71,775/x
  3. Step 3: Cross multiply
    116,487x = 160,765.02 × 71,775
  4. Step 4: Simplify right side
    116,487x = 11,538,909,310.50
  5. Step 5: Solve for x
    x = 11,538,909,310.50/116,487
  6. Step 6: Final answer
    x = 99,057.49

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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.