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Finding the Fourth Proportional to 116,696.06, 161,000.69 and 70,769.74

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Solution

The fourth proportional to 116,696.06, 161,000.69 and 70,769.74 is: 97,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,696.06 : 161,000.69 = 70,769.74 : x
  2. Step 2: Convert to fraction form
    116,696.06/161,000.69 = 70,769.74/x
  3. Step 3: Cross multiply
    116,696.06x = 161,000.69 × 70,769.74
  4. Step 4: Simplify right side
    116,696.06x = 11,393,976,214.77
  5. Step 5: Solve for x
    x = 11,393,976,214.77/116,696.06
  6. Step 6: Final answer
    x = 97,638.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.