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Finding the Fourth Proportional to 116,207.70, 160,364.50 and 65,216.42

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Solution

The fourth proportional to 116,207.70, 160,364.50 and 65,216.42 is: 89,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,207.70 : 160,364.50 = 65,216.42 : x
  2. Step 2: Convert to fraction form
    116,207.70/160,364.50 = 65,216.42/x
  3. Step 3: Cross multiply
    116,207.70x = 160,364.50 × 65,216.42
  4. Step 4: Simplify right side
    116,207.70x = 10,458,398,585.09
  5. Step 5: Solve for x
    x = 10,458,398,585.09/116,207.70
  6. Step 6: Final answer
    x = 89,997.47

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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.