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Finding the Fourth Proportional to 116,208.96, 160,376.16 and 65,911.20

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Solution

The fourth proportional to 116,208.96, 160,376.16 and 65,911.20 is: 90,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,208.96 : 160,376.16 = 65,911.20 : x
  2. Step 2: Convert to fraction form
    116,208.96/160,376.16 = 65,911.20/x
  3. Step 3: Cross multiply
    116,208.96x = 160,376.16 × 65,911.20
  4. Step 4: Simplify right side
    116,208.96x = 10,570,585,156.99
  5. Step 5: Solve for x
    x = 10,570,585,156.99/116,208.96
  6. Step 6: Final answer
    x = 90,961.88

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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.