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Finding the Fourth Proportional to 116,035.97, 160,129.64 and 65,734.97

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Solution

The fourth proportional to 116,035.97, 160,129.64 and 65,734.97 is: 90,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,035.97 : 160,129.64 = 65,734.97 : x
  2. Step 2: Convert to fraction form
    116,035.97/160,129.64 = 65,734.97/x
  3. Step 3: Cross multiply
    116,035.97x = 160,129.64 × 65,734.97
  4. Step 4: Simplify right side
    116,035.97x = 10,526,117,646.17
  5. Step 5: Solve for x
    x = 10,526,117,646.17/116,035.97
  6. Step 6: Final answer
    x = 90,714.26

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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.