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Finding the Fourth Proportional to 116,204.96, 160,378.94 and 65,220.72

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Solution

The fourth proportional to 116,204.96, 160,378.94 and 65,220.72 is: 90,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,204.96 : 160,378.94 = 65,220.72 : x
  2. Step 2: Convert to fraction form
    116,204.96/160,378.94 = 65,220.72/x
  3. Step 3: Cross multiply
    116,204.96x = 160,378.94 × 65,220.72
  4. Step 4: Simplify right side
    116,204.96x = 10,460,029,613.53
  5. Step 5: Solve for x
    x = 10,460,029,613.53/116,204.96
  6. Step 6: Final answer
    x = 90,013.63

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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.