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Finding the Fourth Proportional to 116,946.80, 161,349.75 and 71,577.49

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Solution

The fourth proportional to 116,946.80, 161,349.75 and 71,577.49 is: 98,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,946.80 : 161,349.75 = 71,577.49 : x
  2. Step 2: Convert to fraction form
    116,946.80/161,349.75 = 71,577.49/x
  3. Step 3: Cross multiply
    116,946.80x = 161,349.75 × 71,577.49
  4. Step 4: Simplify right side
    116,946.80x = 11,549,010,016.28
  5. Step 5: Solve for x
    x = 11,549,010,016.28/116,946.80
  6. Step 6: Final answer
    x = 98,754.39

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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.