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Finding the Fourth Proportional to 117,085, 161,646.96 and 76,869.13

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Solution

The fourth proportional to 117,085, 161,646.96 and 76,869.13 is: 106,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,085 : 161,646.96 = 76,869.13 : x
  2. Step 2: Convert to fraction form
    117,085/161,646.96 = 76,869.13/x
  3. Step 3: Cross multiply
    117,085x = 161,646.96 × 76,869.13
  4. Step 4: Simplify right side
    117,085x = 12,425,661,182.34
  5. Step 5: Solve for x
    x = 12,425,661,182.34/117,085
  6. Step 6: Final answer
    x = 106,125.13

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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.