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Finding the Fourth Proportional to 116,930.34, 161,365.34 and 70,976.70

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Solution

The fourth proportional to 116,930.34, 161,365.34 and 70,976.70 is: 97,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,930.34 : 161,365.34 = 70,976.70 : x
  2. Step 2: Convert to fraction form
    116,930.34/161,365.34 = 70,976.70/x
  3. Step 3: Cross multiply
    116,930.34x = 161,365.34 × 70,976.70
  4. Step 4: Simplify right side
    116,930.34x = 11,453,179,505.02
  5. Step 5: Solve for x
    x = 11,453,179,505.02/116,930.34
  6. Step 6: Final answer
    x = 97,948.74

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1.5x scale

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.