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Finding the Fourth Proportional to 116,827.68, 161,166 and 76,524

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Solution

The fourth proportional to 116,827.68, 161,166 and 76,524 is: 105,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,827.68 : 161,166 = 76,524 : x
  2. Step 2: Convert to fraction form
    116,827.68/161,166 = 76,524/x
  3. Step 3: Cross multiply
    116,827.68x = 161,166 × 76,524
  4. Step 4: Simplify right side
    116,827.68x = 12,333,066,984
  5. Step 5: Solve for x
    x = 12,333,066,984/116,827.68
  6. Step 6: Final answer
    x = 105,566.31

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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.